Consider the statement $3<6x+7<9$3<6x+7<9:
Is $3<6x+7<9$3<6x+7<9 a compound inequality?
No
Yes
What are the two inequalities that make up $3<6x+7<9$3<6x+7<9?
$\editable{}<6x+7$<6x+7
$\editable{}<\editable{}$<
What word joins the two inequalities that were obtained from the compound inequality $3<6x+7<9$3<6x+7<9?
OR
AND
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:
$x-2<4$x−2<4 and $4x>11$4x>11
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
Write or solve compound inequalities and/or graph their solution sets on a number line (may include absolute value inequalities).
Identify or graph the solution set to a linear inequality on a number line.