$-5≤\frac{5-3x}{2}≤8$
Answer & explanation
Correct answer: option 1
The correct answer is option (1) : $\left[\frac{-11}{3}, 5\right]$
$-5≤\frac{5-3x}{2}≤8$
$-10≤5-3x≤16$
$-10-5≤-3x≤16-5$
$-15≤-3x≤11$
|
$-15≤-3x$ $-3x≥-15$ $x≤5$ |
and |
$-3x≤11$ $3x≥-11$ $x≥\frac{-11}{3}$ |
$\frac{-11}{3}≤x≤5$
∴ Solution set is { x : x ∈ R, $\frac{-11}{3}≤x≤5$}i.e $\left[\frac{-11}{3}, 5\right]$