CAT 2022 Inequalities Question (Hard)

Question

The largest real value of for which the equation has an infinite number of solutions for is

Accepted Answer

Step-by-step solution We need the largest real value of such that x a x-1 2 has infinite solutions in . --- Step 1 When does an absolute value equation have infinite solutions? For an equation involving absolute values to have infinite solutions , the left-hand side LHS must be constant equal to 2 f

CAT 2022

Quantitative

Inequalities

Hard

The largest real value of $a$ for which the equation $|x+a|+|x-1|=2$ has an infinite number of solutions for $x$ is

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