Question

If $x\in R$ and $0\le \left(3x-5\right)/2\le 8$ , then the minimum and maximum values of ${}^{\prime }{x}^{\prime }$ 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.