2. Equations & Inequalities
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:
$x-2<4$x−2<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$3−x>−7 and $3-x\le6$3−x≤6
Easy
1min
Sign up to access Practice Questions
Get full access to our content with a Mathspace account