Question:
Solve the inequality $-3 \leq 4-\frac{7 x}{2} \leq 18$
Solution:
$-3 \leq 4-\frac{7 x}{2} \leq 18$
$\Rightarrow-3-4 \leq-\frac{7 x}{2} \leq 18-4$
$\Rightarrow-7 \leq-\frac{7 x}{2} \leq 14$
$\Rightarrow 7 \geq \frac{7 x}{2} \geq-14$
$\Rightarrow 1 \geq \frac{x}{2} \geq-2$
$\Rightarrow 2 \geq x \geq-4$
Thus, the solution set for the given inequalityis $[-4,2]$.
Click here to get exam-ready with eSaral
For making your preparation journey smoother of JEE, NEET and Class 8 to 10, grab our app now.