For what value of x, the inequality (π/2) < cos-1 (3x - 1) < π holds – InterviewSolution

1.

For what value of x, the inequality (π/2) < cos-1 (3x - 1) < π holds?

Answer»

(π/2) < cos^-1 (3x -1) < π

⇒ cos (π/2) < 3x – 1 < cos π

⇒ 0 < 3x – 1 < -1

⇒ 1 < 3x < 0

⇒ (1/3) < x < 0

This inequality holds only if x < 0 or x > (1/3)

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