46
Fill in the blanks of the following
If $-4 x \geq 12$, then $x \ldots-3$.
Explanation
IF $-4x\ge12\Rightarrow x\le-3$
47
Fill in the blanks of the following
If $\frac{-3}{4} x \leq-3$, then $x \ldots 4$.
Explanation
If $\frac{-3}{4} x \leq-3$
$$\Rightarrow \quad x \geq(-3) \times \frac{4}{-3} \Rightarrow x \geq 4$$
48
Fill in the blanks of the following
If $\frac{2}{x+2}>0$, then $x \ldots-2$.
Explanation
If $\frac{2}{x+2}>0$
$\Rightarrow x > -2$
49
Fill in the blanks of the following
If $x>-5$, then $4 x \ldots-20$.
Explanation
If $x > -5\Rightarrow 4x > -20$
50
Fill in the blanks of the following
If $x>y$ and $z<0$, then $-x z \ldots-y z$.
Explanation
If $x > y$ and $z < 0$, then
$xz < yz \quad [\text{since, }z < 0]$
$\Rightarrow \quad -xz > -yz$