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प्रश्न
For what value of x, the inequality `pi/2 < cos^-1 (3x - 1) < pi` holds?
उत्तर
`pi/2 < cos^-1 (3x - 1) < pi`
`cos pi/2 < (3x - 1) < cos pi`
0 < 3x < 1 < – 1
0 + 1 < 3x < – 1 + 1
1 < 3x < 0
The inequality is true, only when `0 < x < 1/3`
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