CAT 2021 Inequalities Question (Hard)

Question

If and , then is

Accepted Answer

We are given two equations and . , or the modulus of , is a function of that gives the magnitude of . if is negative, and if is non-negative. Therefore, depending on whether and are positive or negative, we assume the following cases for the two equations given. Case i and are both positive. and - -

CAT 2021

Quantitative

Inequalities

Hard

If $3x + 2|y| + y = 7$ and $x + |x| + 3y = 1$ , then $x + 2y$ is

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