Question

solve for $x$ and graph the solution on the number line below.
$1 \geq x - 9$ or $x - 9 > 3$
answer attempt 1 out of 2
$<$ $>$ $\leq$ $\geq$ or
inequality notation:
number line:
click and drag to plot line.
submit answer

Explanation:

Step1: Solve first inequality

Add 9 to both sides:
$1 + 9 \geq x - 9 + 9$
$\implies 10 \geq x$ or $x \leq 10$

Step2: Solve second inequality

Add 9 to both sides:
$x - 9 + 9 > 3 + 9$
$\implies x > 12$

Step3: Combine solutions

Combine the two results with "or":
$x \leq 10$ or $x > 12$

Step4: Graph instructions

For $x \leq 10$: Plot a closed dot at 10, draw a line extending left.
For $x > 12$: Plot an open dot at 12, draw a line extending right.

Answer:

$x \leq 10$ or $x > 12$