Question

If -2 < x ≤ 3 then find the interval in which 2 - 3x lies.

Answer 1

Answer: $\sf -7\leq 2-3x<8$

Solution to the question is property of inequality.

Given inequality

$\sf -2<x\leq 3$

Multiplication property

$\sf 3\times (-3)\leq x\times (-3)<-2\times (-3)$

Addition property

$\sf -9+(2)\leq -3x+(2)<6+(2)$

Answer

∴$\sf -7\leq 2-3x<8$