Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Numbers, Quantification and Numerical Applications

Question:

What will be the solution of (1 to 3) system of inequality : $5x + 1> -24, 5x-1< 24$

Options:

$ (-4,  4)$

$ (-4,  5)$

$ (-5,  4)$

$ (-5,  5)$

Correct Answer:

$ (-5,  5)$

Explanation:

The correct answer is option (4) : $ (-5,  5)$

$5x+1> -24$

$5x> -25$

$x> -5$

$-5< x$ ......(i)

$5x-1< 24$

$5x< 25$

$x< 5$ ......(ii)

From (i) and (ii)

$-5< x < 5$

Hence Solution set is {x : x ∈ R, -5 < x< 5}

i.e $ (-5,  5)$