The set of all x∈−π,π satisfying $$4sinx$$−$$1$$<$$5$$ is

Correct option is 2x∈-π10,3π10

Questions

The set of all $x \in (- π, π)$ satisfying $|4 \sin x - 1| < \sqrt{5}$ is

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x∈-π10,π

x∈-π10,3π10

x∈−π,3π10

x∈−π,π

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detailed solution

Correct option is B

We have 4sinx−1<5⇒−5<4sinx−1<5⇒−5−14

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The set of all x∈−π,π satisfying 4sinx−1<5 is

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The set of all $x \in (- π, π)$ satisfying $|4 \sin x - 1| < \sqrt{5}$ is