Question

If $ x \in R $ and $ 0 \le \left(3x-5\right)/2 \le 8 $ , then the minimum and maximum values of $ 'x' $ are

• A. $ 5/3 $ and $ 7 $ respectively
• B. $ 0 $ and $ 16/3 $ respectively
• C. $ 3 $ and $ 9 $ respectively
• D. $ 5 $ and $ 21 $ respectively

Answer 1

Answer: (A)

Given, $0 \le \frac{3x-5}{2} \ge 8$, where $ x \in R$
$\Rightarrow 0 \le 3x -5 \le 16 $
$\Rightarrow 5 \le 3x \le 21$
$\Rightarrow \frac{5}{3} \le x \le 7$
$\therefore $ Minimum and maximum values of $x$ are $5/3$ and $7$ respectively.