Compound Inequalities

A compound inequality is a statement in which two inequalities are combined into one statement.

• True

• False

A conjunction is a compound inequality that uses the word "or."

• True

• False

Write the compound inequality x < 3 and x > -2 using proper notation.

• -2 < x < 3

• 3 > x > -2

• 3 < x < -2

• -2 > x > 3

The solution region of a compound inequality with the word "OR" is the intersection of the solution regions for the separate parts of the compound inequality.

• True

• False

Consider the compound inequality $x\le-1$ and  $x\ge6$ . What is its solution set?

• no solution

• all real numbers

•  $x\le-1$  

•  $x\ge6$  

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

Consider the compound inequality $-1\le x\le6$ . Which graph represents the solution? 

• 
• 
• 
• 

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Consider the graph shown above. What compound "AND" inequality does it represent?

•  $x\le-1$  and  $x\le6$  

•  $x\le-1$  and  $x\ge6$  

•  $x\ge-1$  and  $x\le6$  

•   $x\ge-1$  and  $x\ge6$  

Consider the compound inequality $x\ge-1$ and  $x\ge6$ . Which graph represents the solution? 

• 
• 
• 
• 

Consider the graph shown above. What compound "OR" inequality does it represent?

• $x\le-1$ or $x\ge6$

• $x\le-1$ or $x\le6$

• $x\ge-1$ or $x\ge6$

• $x\ge-1$ or $x\le6$

Consider the compound inequality $x\ge-1$ or $x<6$ . What is its solution set?  

•  $x<6$  

•  $x\ge-1$  

• all real numbers

• no solution