What is the solution set for the following inequality?
$$
4 x-3+6 x5 x+7
$$

Question

What is the solution set for the following inequality?
$$
4 x-3+6 x>5 x+7
$$

Accepted Answer

∻Solution by Steps∻ ‖ step 1 ⋮ Combine like terms on the left side of the inequality: $4x - 3 + 6x > 5x + 7$ becomes $10x - 3 > 5x + 7$. ‖ ‖ step 2 ⋮ Subtract $5x$ from both sides to isolate the variable term on one side: $10x - 5x - 3 > 7$ simplifies to $5x - 3 > 7$. ‖ ‖ step 3 ⋮ Add 3 to both sides to further isolate the variable term: $5x - 3 + 3 > 7 + 3$ simplifies to $5x > 10$. ‖ ‖ step 4 ⋮ Divide both sides by 5 to solve for $x$: $\frac{5x}{5} > \frac{10}{5}$ simplifies to $x > 2$. ‖ ∻Answer∻ ⚹ $x > 2$ ⚹ ∻Key Concept∻ ⚹Solving linear inequalities⚹ ∻Explanation∻ ⚹To solve a linear inequality, combine like terms, isolate the variable on one side, and then solve for the variable by performing inverse operations.⚹◊What is the solution set for the inequality $4x - 3 + 6x > 5x + 7$?⍭ Generate me a similar question◊

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