Question

solve for $x$ and graph the solution on the number line below.
$14>x + 3>8$
answer attempt 1 out of 3
$< > \leq \geq$ or
inequality notation:
number line:

Explanation:

Step1: Subtract 3 from all parts

$$\begin{align*} 14-3&>x + 3-3>8-3\\ 11&>x>5 \end{align*}$$

Answer:

Inequality Notation: \(5 < x < 11\)

To graph on the number line:

• Draw an open circle at \(x = 5\) (because \(x>5\), \(5\) is not included)
• Draw an open circle at \(x = 11\) (because \(x<11\), \(11\) is not included)
• Shade the region between the two open - circles.