Question

solve for $x$ and graph the solution on the number line below.
$30 \geq -6x$
answer attempt 1 out of 2
$<$ $>$ $\leq$ $\geq$ or
inequality notation:
number line:

Explanation:

Step1: Divide both sides by -6

Note: When dividing an inequality by a negative number, reverse the inequality sign.
$\frac{30}{-6} \leq \frac{-6x}{-6}$

Step2: Simplify both sides

$-5 \leq x$ or $x \geq -5$

Answer:

Inequality Notation: $x \geq -5$

For the number line graph:

• Draw a closed (filled) circle at $-5$ (since the inequality includes equality, $x$ can equal $-5$)
• Draw a line extending to the right from $-5$ to represent all numbers greater than or equal to $-5$