why cannot multiply denominator to combine both side

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∻Solution by Steps∻ ‖ step 1 ⋮ Consider the inequality problem you are working on. Let's denote it as $ \frac{a}{b} \leq c $. ‖ ‖ step 2 ⋮ To combine both sides by multiplying the denominator, you need to ensure that $ b $ is positive. If $ b $ is positive, you can multiply both sides by $ b $ without changing the inequality direction: $ a \leq bc $. ‖ ‖ step 3 ⋮ If $ b $ is negative, multiplying both sides by $ b $ will reverse the inequality direction: $ a \geq bc $. ‖ ‖ step 4 ⋮ If $ b $ is zero, the inequality is undefined because division by zero is not allowed. ‖ ‖ step 5 ⋮ Therefore, you must check the sign of the denominator before multiplying both sides to combine them correctly. ‖ ∻Answer∻ ⚹ You cannot multiply the denominator to combine both sides without considering the sign of the denominator. ⚹ ∻Key Concept∻ ⚹Sign of the denominator in inequalities⚹ ∻Explanation∻ ⚹When solving inequalities, the sign of the denominator determines whether the inequality direction changes or remains the same when multiplying both sides.⚹◊What happens to the inequality sign when both sides are multiplied by a denominator in an inequality problem?⍭ Generate me a similar question◊

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