We have,
−3 ≤ −3x + 2 <4,
⇒ −3 − 2 ≤ −3x + 2 − 2 < 4 − 2
(Adding -2 in inequality)
⇒ −5 ≤ −3x < 2
⇒ \(\frac{-5}{-3}\) ≥ \(\frac{-3x}{-3}\) >\(\frac{2}{-3}\) (Dividing by −3)
Or ⇒ \(-\frac{2}{3}\) > x ≤ \(-\frac{5}{3}\)
Or x ∈\(-\frac{2}{3}\),\(-\frac{5}{3}\)