topic badge

2.09 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
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
Easy
1min

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.

Easy
2min

Consider the compound inequality:

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

Easy
1min

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

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

Easy
1min
Sign up to access Practice Questions
Get full access to our content with a Mathspace account

Outcomes

I.A.REI.3

Solve linear equations and inequalities in one variable.

What is Mathspace

About Mathspace