First slide

Functions (XII)

Question

The set of values of $x$ satisfying $x^{2} - x - π + \sin^{- 1} (\sin 2) < 0$ , is

Difficult

A

$(0, 1)$
B

$(1, 2)$
C

$(- 1, 2)$
D

null set

Solution

By graph $\sin^{- 1} (\sin 2) = (π - 2)$
$x^{2} - x - π + (π - 2) < 0 \Rightarrow x^{2} - x - 2 < 0 \Rightarrow - 1 < x < 2$

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