CAT 2024 Inequalities Question (Hard)

Question

The number of distinct real values of , satisfying the equation is

Accepted Answer

! https optima-learn.b-cdn.net quantPyqImages img_1750852144576_1.jpg Step 1 Note So the equation becomes Step 2 Bring all terms to one side Step 3 Solve this piecewise. Case 1 Then , Equation Case 2 Then , Equation Case 3 Then , Equation But does not lie in this interval discard Step 4 Valid soluti

CAT 2024

Quantitative

Inequalities

Hard

The number of distinct real values of $x$ , satisfying the equation $\max\{x, 2\} - \min\{x, 2\} = |x + 2| - |x - 2|$ is:

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