Question

If 2x $\le$ 7 and 2x > 3, what is the possible range of values for x?

• A. $x\ge 3.5andx<1.5$
• B. $x<3.5andx\ge 1.5$
• C. $x>3.5andx\le 1.5$
• D. $x\le 3.5andx>1.5$

Answer 1

The correct option is D $x\le 3.5andx>1.5$

$2x\le 7\Rightarrow x\le \frac{7}{2}$
$x\le 3.5$
$2x>3\Rightarrow x>\frac{3}{2}$
$x>1.5$
Hence, D is the answer