Question

Given x$\in${integers},find the solution set of:

$-5\le 2x-3<x+2$

• A. {-1,0,1,2,3,4,5}
• B. {0,1,2,3,4}
• C. {1,2,3,4}
• D. {-1,0,1,2,3,4}

Answer 1

The correct option is D

{-1,0,1,2,3,4}

Given:

$-5\le 2x-3<x+2$

$\Rightarrow -5\le 2x-3and2x-3<x+2$

$\Rightarrow -2\le 2xandx<5$

$\Rightarrow x\ge -1andx<5$

Since x $\in$ {integers}

Solution set={-1,0,1,2,3,4}