Question

solve the inequality and graph the solution on the line provided.
$3 + 2x \geq 5$
answer attempt 1 out of 2
$<$ $>$ $\leq$ $\geq$ or
inequality notation:
number line:

Explanation:

Step1: Subtract 3 from both sides

$3 + 2x - 3 \geq 5 - 3$
$2x \geq 2$

Step2: Divide both sides by 2

$\frac{2x}{2} \geq \frac{2}{2}$
$x \geq 1$

Step3: Graph setup for number line

For the number line: Place a closed (filled) circle at $x=1$ (since the inequality includes equality, $\geq$), then draw a line extending to the right from 1 to represent all values greater than or equal to 1.

Answer:

Inequality Notation: $x \geq 1$
Number Line: Closed circle at 1, shaded line extending to the right (covering all values 1 and higher on the provided number line)