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 / 2\leqslant - 2x / 2 < - 4 / 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]