Question

Solve for x, the inequalities in -5 ≤ (2 - 3x)/4 ≤ 9

Answer 1

According to the question,

Multiplying each term by 4, we get

⇒ -20 ≤ 2 – 3x ≤ 36

Adding -2 each term, we get

⇒ -22 ≤ -3x ≤ 34

Dividing each term by 3, we get

⇒ -22/3 ≤ -x ≤ 34/3

We know that,

Multiplication by -1 inverts the inequality.

So, multiplying each term by -1, we get

⇒  -34/3≤ x ≤ 22/3