CAT 2021 Inequalities Question (Medium)

Question

For all real numbers x the condition 3x - 20 3x - 40 20 necessarily holds if

Accepted Answer

Step-by-step solution --- Step 1 Given equation We need to solve 3x - 20 3x - 40 20 --- Step 2 Critical points The absolute value changes at 3x - 20 0 implies x 3 approx 6.67 3x - 40 0 implies x 3 approx 13.33 These points divide the number line into three intervals 1. --- Step 3 Evaluate in each in

CAT 2021

Quantitative

Inequalities

Medium

For all real numbers x the condition |3x - 20| + |3x - 40| = 20 necessarily holds if

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