If $-5 ≤ \frac{2-3x}{4} ≤ 9$, then x belongs to the interval
Answer & explanation
Correct answer: option 2
We have,
$-5 ≤ \frac{2-3x}{4} ≤ 9$
$⇒-20≤2-3x≤36$
$⇒-22≤-3x≤34$
$⇒-34≤3x≤22$
$⇒-34≤3x≤22⇒-\frac{34}{3}≤x≤\frac{22}{3}⇒x∈[-34/3, 22/3]$
If $-5 ≤ \frac{2-3x}{4} ≤ 9$, then x belongs to the interval
Correct answer: option 2
We have,
$-5 ≤ \frac{2-3x}{4} ≤ 9$
$⇒-20≤2-3x≤36$
$⇒-22≤-3x≤34$
$⇒-34≤3x≤22$
$⇒-34≤3x≤22⇒-\frac{34}{3}≤x≤\frac{22}{3}⇒x∈[-34/3, 22/3]$