Question

question solve the inequality and graph the solution on the line provided. 7x - 2 ≥ 12 answer attempt 1 out of 2 inequality notation: number line: -12 -10 -8 -6 -4 -2 0 2 4 6 8 10 12

Explanation:

Step1: Isolate the variable term

Add 2 to both sides of the inequality $7x - 2\geq12$.
$7x- 2+2\geq12 + 2$, which simplifies to $7x\geq14$.

Step2: Solve for x

Divide both sides of the inequality $7x\geq14$ by 7. Since 7 is positive, the direction of the inequality sign remains the same.
$\frac{7x}{7}\geq\frac{14}{7}$, so $x\geq2$.

Step3: Write in inequality notation

The inequality notation is $x\geq2$.

Step4: Graph on number - line

On the number - line, draw a closed circle at 2 (because the inequality includes equality, i.e., $\geq$) and shade to the right of 2.

Answer:

Inequality Notation: $x\geq2$
Number Line: Draw a closed circle at 2 and shade to the right.