350,262 views
35 votes
35 votes
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.

User Jalex
by
2.3k points

1 Answer

10 votes
10 votes

\begin{gathered} 4<p><strong>Explanation</strong></p><p>Step 1</p><p></p><p>let</p><p>x= the time Julie does her homework</p><p></p><p>Step 2</p><p>convert words into math terms</p><p>Julie does her homework either between 4:00 and 6:00,</p>[tex]\text{ 4 }<\text{ x}<6

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


8Step 3<p>now, solve the inequalities</p>[tex]\begin{gathered} 4Julie can work either option 1 <strong>OR </strong>option 2, so the answer is a union <p></p>[tex](4,6)\cup(8,10)

User Akanksha Rathore
by
3.1k points