Question

solve for $x$ and graph the solution on the number line below.
$1\geq -x - 1$ and $-x - 1\geq -13$
answer attempt 1 out of 2
$<$ $>$ $\leq$ $\geq$ or
inequality notation:
number line:
<number - line image>

Explanation:

Step1: Solve the first inequality

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

Step2: Solve the second inequality

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

Answer:

Inequality Notation: $-2\leq x\leq12$
Number - Line: Mark a closed - circle at - 2 and 12 on the number line and shade the region between them.