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CAT 2017 Functions — Previous Year Question

Paper

CAT 2017

Section

Quantitative

Topic

Functions

Difficulty

Medium

Question

CAT 2017

Slot-2

Let f(x) = 2x – 5 and g(x) = 7 – 2x. Then |f(x) + g(x)| = |f(x)| + |g(x)| if and only if

52\frac{5}{2} < x < 72\frac{7}{2}

x ≤ 52\frac{5}{2} or x ≥ 72\frac{7}{2}

x < 52\frac{5}{2} or x ≥ 72\frac{7}{2}

52\frac{5}{2} ≤ x ≤ 72\frac{7}{2}

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