Question

Write the compound inequality, or inequalities. Draw and label a number line and graph the inequalities. 9 Julie does her homework either between 4:00 and 6:00 p.m. or between 8:00 and 10:00 p.m.

Answer 1

$\begin{gathered} 4

Explanation

Step 1

let

x= the time Julie does her homework

Step 2

convert words into math terms

Julie does her homework either between 4:00 and 6:00,

[tex]\text{ 4 }<\text{ x}<6$

Julie does her homework between 8:00 and 10:00 p.m.

​

$8Step 3

now, solve the inequalities

[tex]\begin{gathered} 4Julie can work either option 1 OR option 2, so the answer is a union

[tex](4,6)\cup(8,10)$