Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

solve the inequality and graph the solution on the line provided. 3 + 2…

Question

solve the inequality and graph the solution on the line provided. 3 + 2x ≥ 5 answer attempt 1 out of 2 < > ≤ ≥ or inequality notation: number line: -12 -10 -8 -6 -4 -2 0 2 4 6 8 10 12 touch and drag to plot line. submit answer

Explanation:

Step1: Isolate the term with x

Subtract 3 from both sides of the inequality $3 + 2x\geq5$.
$3 + 2x-3\geq5 - 3$
$2x\geq2$

Step2: Solve for x

Divide both sides of the inequality $2x\geq2$ by 2.
$\frac{2x}{2}\geq\frac{2}{2}$
$x\geq1$

Answer:

Inequality Notation: $x\geq1$
Number Line: We would plot a closed - circle at 1 (because the inequality is $\geq$) and draw a line to the right of 1 on the number line.