Question

solve for x and graph the solution on the number line below.
-3 ≥ \frac{x}{-2}
answer attempt 1 out of 2
< > ≤ ≥ or
inequality notation:
number line:
-12 -10 -8 -6 -4 -2 0 2 4 6 8 10 12

Explanation:

Step1: Multiply both sides by -2

When multiplying an inequality by a negative number, the direction of the inequality sign changes. So, $-3\times(- 2)\leq\frac{x}{-2}\times(-2)$.
$6\leq x$

Step2: Rewrite the inequality

$x\geq6$

Answer:

Inequality Notation: $x\geq6$
Number - Line: On the number line, place a closed - circle at 6 (because the inequality includes equality, i.e., $\geq$) and draw an arrow to the right to represent all numbers greater than or equal to 6.