- 7 ≤ 7-5x/4 ≤ 10.

Question

- 7 ≤ \(\frac{7-5x}{4}\) ≤ 10.

Answer 1

We have,

- 7 ≤ \(\frac{7-5x}{4}\) ≤ 10.

⇒ - 28 ≤ 7 - 5x ≤ 40

(Multiplying inequality by 4)

⇒ - 28 - 7 ≤ - 7 + 7 - 5x ≤ - 7 + 40

[Adding - 7 in each side)

⇒ - 35 ≤ - 5x ≤ 33

⇒ 7 ≥ x ≥ - \(\frac{33}{5}\)

(Dividing inequality by 5)