CAT 2020 Inequalities Question (Medium)

Question

The area of the region satisfying the inequalities x - y 1, y 0, and y 1 is

Accepted Answer

Step-by-step solution --- Step 1 Given inequalities We are given 1. 2. 3. --- Step 2 Simplify inequality Rewrite x leq y 1 implies - y 1 leq x leq y 1 So for a given , lies between and . --- Step 3 Restrict range From conditions 0 leq y leq 1 --- Step 4 Find width of region in For each in Width ---

CAT 2020

Quantitative

Inequalities

Medium

The area of the region satisfying the inequalities |x| - y ≤ 1, y ≥ 0, and y ≤ 1 is

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