Question

Statement-I: If $-5 \le 2x + 9 < 2$, then $x \in [-7, \,-3.5]$
Statement-II: The graphical representation of
$- 5<2x + 9 \le 2$ is

• A. If both Statement-I and Statement-II are true and Statement-II is the correct explanation of Statement-I
• B. If both Statement-I and Statement-II are true but Statement-II is not the correct explanation of Statement-I
• C. If Statement-I is true but Statement-II is false
• D. If Statement-I is false and Statement-II is true

Answer 1

Answer: (A)

We have, $- 5<2x + 9 \le 2 \Rightarrow - 1 4 \le 2 x < -7$
$\Rightarrow \quad-7 \le x \le \frac{-7}{2}\quad\therefore \quad x\in\left[-7,\, \frac{-7}{2}\right]$