Question

solve for x and graph the solution on the number line below. 20 ≥ 5x + 10 or 65 ≤ 5x + 10 answer attempt 2 out of 3 < > ≤ ≥ or inequality notation: number line: -12 -10 -8 -6 -4 -2 0 2 4 6 8 10 12 click and drag to plot line. submit answer

Explanation:

Step1: Solve the first inequality

Subtract 10 from both sides of $20\geq5x + 10$.
$20-10\geq5x+10 - 10$, which simplifies to $10\geq5x$. Then divide both sides by 5: $\frac{10}{5}\geq\frac{5x}{5}$, so $x\leq2$.

Step2: Solve the second inequality

Subtract 10 from both sides of $65\leq5x + 10$.
$65 - 10\leq5x+10 - 10$, which simplifies to $55\leq5x$. Then divide both sides by 5: $\frac{55}{5}\leq\frac{5x}{5}$, so $x\geq11$.

Answer:

Inequality Notation: $x\leq2$ or $x\geq11$
Number - Line: Plot a closed - circle at 2 and shade to the left, and plot a closed - circle at 11 and shade to the right.