CMAT Exam 2023 Shift 1 Solved Paper

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Question : 16 of 100

Marks: +1, -0

Find the range of values of real number

x

for which the inequality

(x+2)(x+5)>40

holds

$(-∞, 10) ∪(3, ∞)$
$(3, ∞)$
$(-∞, 1) ∪(1, ∞)$
$(-∞, 10)$
None of the above

Solution:

\;(x+2)(x+5)>40

\;x^2+7 x+10>40

\;x^2+7 x-30>0

\;(x+10)(x-3)>0

Range of x is

(-∞,-10) U(3, ∞)

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