The correct solution of $-22 < 8x-6&l

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Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Numbers, Quantification and Numerical Applications

Question:

The correct solution of $-22 < 8x-6≤26$ is the interval:

Options:

$[2,4]$

$(-2,4)$

$(-2,4]$

$[-2,4)$

Correct Answer:

$(-2,4]$

Explanation:

The correct answer is Option (3) → $(-2,4]$

$-22 < 8x-6$

$⇒-22+6<8x⇒-16<8x$

$⇒-2<x$ ...(1)

solve $8x-6≤26$

$8x≤32$

$x≤4$ ...(2)

Combined inequality is

$-2<x≤4$

$⇒x∈(-2,4]$