Question

solve for ( x ) and graph the solution on the number line below.

( 14 > x + 3 > 8 )

answer attempt 2 out of 3

inequality notation: ( 5 < x < 11 )

number line:

Explanation:

Step1: Subtract 3 from all parts

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

Which can be rewritten as \(5 < x<11\)

Answer:

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

For the number - line:

• Place an open circle at \(x = 5\) (because \(x>5\), the value \(x = 5\) is not included in the solution set)
• Place an open circle at \(x = 11\) (because \(x<11\), the value \(x = 11\) is not included in the solution set)
• Draw a line segment connecting the two open circles to represent all the values of \(x\) that satisfy the inequality \(5 < x<11\)