United States of AmericaPA
High School Core Standards - Algebra I Assessment Anchors

# 3.09 Solving compound inequalities

## Interactive practice questions

Consider the statement $3<6x+7<9$3<6x+7<9:

a

Is $3<6x+7<9$3<6x+7<9 a compound inequality?

No

A

Yes

B

No

A

Yes

B
b

What are the two inequalities that make up $3<6x+7<9$3<6x+7<9?

$\editable{}<6x+7$<6x+7

$\editable{}<\editable{}$<

c

What word joins the two inequalities that were obtained from the compound inequality $3<6x+7<9$3<6x+7<9?

OR

A

AND

B

OR

A

AND

B
Easy
Approx a minute

A high level of LDL cholesterol (“bad cholesterol”) in the blood increases a person’s risk of heart disease. The table shows how LDL levels affect risk.

Use $x$x as the variable that represents the LDL cholesterol number to answer the following questions.

Consider the compound inequality:

$x-2<4$x2<4 and $4x>11$4x>11

Which of the following values of $x$x are solutions to the compound inequality?

$3-x>-7$3x>7 and $3-x\le6$3x6

### Outcomes

#### A1.1.3.1.1

Write or solve compound inequalities and/or graph their solution sets on a number line (may include absolute value inequalities).

#### A1.1.3.1.2

Identify or graph the solution set to a linear inequality on a number line.