Question

solve for x and graph the solution on the number line below. 1 ≥ -x - 1 and -x - 1 ≥ -13 answer attempt 1 out of 2 < > ≤ ≥ or inequality notation: number line: -12 -10 -8 -6 -4 -2 0 2 4 6 8 10 12 click and drag to plot line

Explanation:

Step1: Solve the first - inequality

Add 1 to both sides of $1\geq -x - 1$.
$1+1\geq -x-1 + 1$, which simplifies to $2\geq -x$. Multiply both sides by - 1 and reverse the inequality sign, we get $x\geq - 2$.

Step2: Solve the second - inequality

Add 1 to both sides of $-x - 1\geq - 13$.
$-x-1 + 1\geq - 13+1$, which simplifies to $-x\geq - 12$. Multiply both sides by - 1 and reverse the inequality sign, we get $x\leq12$.

Answer:

Inequality Notation: $-2\leq x\leq12$
Number Line: Plot a closed - circle at $x = - 2$ and $x = 12$ and draw a line segment connecting them.