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Different Types of Intervals in Inequality

If -32x-13≤5,...

Question

If $- 3 < \frac{2 x - 1}{3} \leq 5$ , then $x$ lies in the interval

A

(- 4, 8]

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B

[- 4, 8)

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C

(- 4, 8)

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D

[- 4, 8]

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Solution

The correct option is A $(- 4, 8]$
$- 3 < \frac{2 x - 1}{3} \leq 5$
$\Rightarrow - 9 < 2 x - 1 \leq 15$
$\Rightarrow - 8 < 2 x \leq 16$
$\Rightarrow - 4 < x \leq 8$

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Different Types of Intervals in Inequality

Standard XIII Mathematics

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