Introduction to Compound Inequalities

A compound inequality is an inequality that c_ _ _ _ _ _ _ two simple inequalities.

Compound inequalities are combined/joined by the word _ _ or by the word ___.

All are examples of compound inequalities except

• x>4 and x<8

• x>8

• 
  

  $x\le4\ or\ x\ge8$

• $4<x<10$

 $4<x<8\ translated\ into\ a\ word\ phrase\ is...$  

• x is greater than 4 and x is less than 8

• x is greater than 4 or less than 8

• x is greater than or equal to 4 and x is less than or equal to 8

When a compound inequality is written without the expressed word "AND" or "OR", it is understood to automatically be the word "AND".

• TRUE

• FALSE

The word "AND" indicates that both statements of the compound inequalities must be satisfied at the same time.

• True

• False

 $x\le5\ OR\ X\ge13$  Translate this compound inequality to a word phrase

Tags

CCSS.6.EE.B.8

 $x\ is\ greater\ than\ -2\ and\ x\ is\ less\ than\ 10$  Translate this word phrase to a compound inequality

 $x\ge4\ and\ x\le8$  Which integers would make this inequality true?

• x= { 4,5,6,7,8}

• x= { 5,6,7}

• x= { 4,5,6,7,8,...}

Tags

CCSS.6.EE.B.5

 $x<4\ or\ x>8$  Which integers would make this inequality true?

• x= { ..., 1,2,3} , x= {9,10,11,12,...}

• x= { ..., 1,2,3,4} , x= {8, 9,10,11,12,...}