Question

solve the inequality and graph the solution on the line provided.
$7x - 2 \geq 12$
answer attempt 2 out of 2
inequality notation:
number line:

Explanation:

Step1: Add 2 to both sides

$7x - 2 + 2 \geq 12 + 2$
$7x \geq 14$

Step2: Divide by 7 on both sides

$\frac{7x}{7} \geq \frac{14}{7}$
$x \geq 2$

Step3: Graph on number line

• Plot a closed (filled) circle at $x=2$ (since the inequality includes equality, $\geq$).
• Shade all points to the right of 2 on the number line, as $x$ can be any value greater than or equal to 2.

Answer:

Inequality Notation: $x \geq 2$
Number Line: Closed circle at 2, shading to the right.