AI Solver by AskSia

Absolute Value Solver: two cases, combined correctly

Every absolute value equation or inequality becomes two cases. AskSia splits |X| = a into X = a and X = minus a, solves each, and combines correctly with AND or OR. The solution appears in interval notation and graphed on a number line.

Works with word problems, equations, code, and science prompts.
∫ 3x² · sin(x) dx
SubjectsCalculusAlgebraPhysicsChemistryBiologyCSStatisticsEcon
4.9 / 5 · trusted by 2M+ students · 50M+ problems solved
Quick Answer

What is the AskSia absolute value solver?

The AskSia absolute value solver is an AI tool that handles every kind of absolute value problem: equations (|X| = a, |aX + b| = c) and inequalities (|X| < a, |X| ≤ a, |X| > a, |X| ≥ a). AskSia splits the absolute value into the two cases (positive and negative interior), solves each algebraically, and combines correctly with AND for less-than inequalities or OR for greater-than. The solution appears in interval notation, set-builder notation, and graphed on a number line with the right open and closed circles.

98%
solution accuracy
50M+
problems solved
~1.5s
avg solve time
A+
study-ready explanations
Why AskSia Solver

Two cases, handled the right way every time.

The absolute value of X equals a means X = a or X = minus a. The absolute value of X less than a means -a < X < a. AskSia tracks which case applies and combines correctly.

Splits into the two cases automatically

For |X| = a, AskSia writes X = a and X = minus a as two separate equations, solves each for the original variable, and reports both solutions. The case split is shown explicitly so the method transfers to your next problem.

Case split shown

AND for less-than inequalities

|X| < a is equivalent to -a < X < a, a compound inequality where both bounds must hold. AskSia rewrites the inequality as a sandwich and solves both bounds simultaneously.

AND compound

OR for greater-than inequalities

|X| > a is equivalent to X < -a OR X > a, two disjoint regions on the number line. AskSia solves each branch separately and combines with OR for the final solution set.

OR compound

No-solution cases flagged

Equations like |X| = -3 have no solution because absolute value is always non-negative. Inequalities like |X| < -2 also have no solution. AskSia identifies these instantly instead of grinding through algebra that goes nowhere.

No-solution flagged

Nested absolute values

Expressions like ||X minus 2| minus 3| = 1 require two levels of case splitting. AskSia handles nested absolute values by splitting the outer first, then the inner, with all four cases shown clearly.

Nested supported

Number line with correct circles

The solution is graphed on a number line with open circles for strict inequalities (<, >) and closed circles for non-strict (≤, ≥). Useful for homework that asks for both the algebra and the visual.

Number line graph
How It Works

Three taps to a solved absolute value problem.

Step 01

Capture the problem

Snap a photo, paste, or type the absolute value equation or inequality. AskSia reads |X| notation and absolute value bars.

Input mode
Snap a Photo
Textbook, handwriting, screenshot
Paste Text
Word problem or equation
Calculator
LaTeX-ready equation editor
Step 02

Watch the case split

AskSia writes the two cases explicitly (X = a or X = minus a for equations, AND or OR compound for inequalities) and solves each algebraically.

Calculus · Step 4 of 4
1.4s
1
Set curves equal
x² = 2x → x = 0, x = 2
2
Set up the integral
A = ∫₀² (2x - x²) dx
3
Evaluate
A = [x² - x³/3]₀² = 4/3
Step 03

See the solution graphed

The combined solution appears in interval notation and on a number line with the right open or closed circles. Ask follow-up questions or generate practice problems.

Auto-generated diagram
Region between y = 2x and y = x² — area = 4/3
Available On

Solve anywhere
you study.

Every solve syncs across Web, iOS, and Android — start it at your desk, finish on your phone.

Web App

Full study studio

Split-panel interface with the worked solution on the left, the auto-generated diagram and AI tutor chat on the right.

Drag & drop image upload + LaTeX equation editor
Auto-generated diagrams render alongside steps
Side-panel AI tutor chat for hints and alt methods
Export to PDF, DOCX, Notion, or Google Docs
app.asksia.ai/solver
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Calculus
98% verified
1.4s
Step 4 of 4 · Evaluate
A = [x² - x³/3]₀² = 4/3
Mobile App

Snap & solve, anywhere

Open the camera, frame the problem, and the worked solution plus diagram appear in seconds.

One-tap snap-and-solve on iOS and Android
Pinch-to-zoom diagrams, swipe between steps
Auto-sync solves with your Web library
Offline review of saved solutions and flashcards
AskSia
+
What can I do for you?
Homework solver
Live transcribe
File summary
Snap
YouTube
Flashcard
Calc
98%
1.4s
Area between y=2x & y=x²
A = 4/3 sq. units ✓
Use Cases

Every absolute value problem type.

📐

Basic |X| = a equations

First-time absolute value equations with simple interiors. AskSia explains the case split clearly: the absolute value equals a means the interior is plus or minus a.

Algebra 1
⚛️

|aX + b| = c equations

Linear interiors that require the case split first, then the algebra to isolate the variable. AskSia handles both cases separately with each step named.

Linear interior
🧪

|X| < a inequalities (AND)

Less-than absolute value inequalities become compound AND inequalities. AskSia rewrites as -a < X < a and solves both bounds.

Less-than
🧬

|X| > a inequalities (OR)

Greater-than absolute value inequalities become OR compounds. AskSia solves X < -a and X > a separately and reports both regions.

Greater-than
💻

Distance problems

Absolute value naturally describes distance on a number line. AskSia translates 'the distance from X to a is less than r' into |X minus a| < r and solves.

Distance problems
🎯

SAT, ACT, AP prep

Absolute value equations and inequalities appear on SAT, ACT, and AP. After any solve, generate similar practice problems at the right difficulty.

Exam prep
Compare

AskSia vs. ChatGPT,
Photomath & Symbolab.

General chatbots hallucinate. Photo solvers stop at math. AskSia is built for actual coursework with verified accuracy, visual learning, and every subject.

Feature comparison between AskSia Solver and alternatives
FeatureAskSia SolverChatGPTPhoto Solvers
Solution accuracy✓ 98%~70-85%, hallucinations~90%, math only
Auto-generated diagrams✓ Every solveInconsistent / brokenGraphs only, math-only
Step-by-step explanations✓ Numbered + plain EnglishInconsistent depth✓ Math steps
Subject coverage✓ Math, Physics, Chem, Bio, CS, Econ✓ Wide but unverifiedMath only
Photo input✓ Handwriting + diagrams + codePhotos OK, weak on handwriting✓ Math photos only
Answer verification✓ Self-checked before displayNo verificationMath engine only
Tutor follow-ups✓ Hints, alt methods, ELI5✓ General chatNot available
Practice and flashcards✓ One-tap from any solveManual promptingNot available
Code debugging✓ Python, Java, C++, SQL...✓ YesNot available
Free to start✓ Daily solves, no cardLimited model accessSteps locked behind paywall
FAQ

Frequently asked questions.

How does AskSia split an absolute value equation into two cases?
For |X| = a (with a ≥ 0), AskSia writes the two cases X = a and X = minus a explicitly, then solves each one as a separate equation. For example, |2x + 1| = 7 becomes 2x + 1 = 7 (giving x = 3) and 2x + 1 = -7 (giving x = -4). Both solutions are reported as the complete solution set. The case split is shown explicitly so the method transfers to your next problem. If the right side is negative (like |X| = -3), AskSia reports no solution since absolute value is always non-negative.
How is |X| < a different from |X| > a?
|X| < a (or ≤ a) means X is within distance a of zero, so the solution is the sandwich -a < X < a (an AND compound). |X| > a (or ≥ a) means X is farther than distance a from zero, so the solution is X < -a OR X > a (an OR compound, two disjoint regions). AskSia rewrites the inequality in the right compound form and solves the resulting pieces. The number line graph shows clearly why one gives a connected interval and the other gives two disjoint rays.
Can AskSia solve nested absolute value problems?
Yes. Nested absolute values like ||X minus 2| minus 3| = 1 require two levels of case splitting. AskSia handles the outer absolute value first (|something| = 1 means something = 1 or something = -1), then handles the inner absolute value in each branch, giving up to four cases total. All cases are shown explicitly, with each leading to a final solution for X. Useful for AP and college-level problems.
What happens when the right side of an absolute value equation is negative?
Equations like |X| = -3 have no solution, because absolute value is always non-negative (zero or positive). AskSia recognizes this immediately and reports 'no solution' instead of grinding through the case split. The same is true for strict inequalities |X| < -2 (no X can have absolute value less than a negative number). For |X| > -2, the solution is all real numbers, since every absolute value is greater than any negative number. AskSia flags these special cases at the start.
How accurate is AskSia?
AskSia is engineered for accuracy on standard high school and college coursework. Accuracy comes from subject-specialized models, a symbolic verification pass that catches arithmetic errors, and a self-check step that re-derives the answer before showing it to you.
Can I get practice problems and flashcards?
Yes. After any solve, ask Sia to generate similar practice problems at SAT, ACT, AP, IB, or college difficulty, or build a flashcard set on the underlying concept in one tap. Useful for exam prep and spaced repetition before a quiz, midterm, or final.
How much does AskSia cost?
AskSia has a free plan that includes daily solves across all subjects. AskSia Pro and Super include unlimited solves, advanced subjects, the full AI tutor companion, exports, and priority response speed. See pricing for details.
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Absolute value. Two cases. One clear solution.

Join 2M+ students using AskSia to solve absolute value equations and inequalities with the case split shown explicitly and the solution graphed on a number line.

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