Question

How do you solve this problem
-3 ≤-2x + 5 < 1

Answer 1

${ \qquad\qquad\huge\underline{{\sf Answer}}}$

Let's solve the inequality ~

$\qquad \sf  \dashrightarrow \: - 3 \leqslant - 2x + 5 < 1$

$\qquad \sf  \dashrightarrow \: - 3 - 5\leqslant - 2x + 5 - 5 < 1 - 5$

$\qquad \sf  \dashrightarrow \: - 8 \leqslant - 2x < - 4$

$\qquad \sf  \dashrightarrow \: - 8 \div 2\leqslant - 2x \div 2 < - 4 \div 2$

$\qquad \sf  \dashrightarrow \: - 4 \leqslant - x < - 2$

$\qquad \sf  \dashrightarrow \: 4 \geqslant x > 2$

So, we can conclude that : value of x belongs to (2 , 4]