Question

solve for x and graph the solution on the number line below.
-1 < x + 8 ≤ 10
answer attempt 1 out of 2
inequality notation:
number line:

Explanation:

Step1: Subtract 8 from all parts

Subtract 8 from each part of the compound - inequality $-1\lt x + 8\leq10$.
$-1-8\lt x+8 - 8\leq10 - 8$

Step2: Simplify the expressions

Simplify the left - hand side, middle, and right - hand side expressions.
$-9\lt x\leq2$

Answer:

Inequality Notation: $-9\lt x\leq2$
Number Line: On the number line, draw an open circle at $-9$ (because $x\gt - 9$) and a closed circle at $2$ (because $x\leq2$), and shade the region between them.