Solving Multi-Step Inequalities

 $3n-7\le56$  

•  $n\le16.333...$  

•  $n\le21$  

•  $n\ge63$  

•  $n\ge-14$  

Tags

CCSS.7.EE.B.4B

 $-3n-7\le56$  

•  $n\le-16.333...$  

•  $n\le21$  

•  $n\ge-21$  

•  $n\le-14$  

Tags

CCSS.7.EE.B.4B

Annalise solved an inequality in class and got an answer of  $x\ge-13.$   Which subset of numbers below shows some of the many possible solutions to the problem she solved?

•  $\left\{-\frac{44}{3},\ -\frac{21}{2},\ -7.25,\ 7.25\right\}$  

•  $\left\{-\frac{51}{4},\ -\frac{17}{2},\ 0,\ 8.15\right\}$  

•  $\left\{-\frac{71}{5},\ -\frac{23}{2},\ 0,\ \frac{3}{2}\right\}$  

 $-10m+2<-18$  

•  $m<2$  

•  $m<1.6$  

•  $m>2$  

•  $m>1.6$  

Tags

CCSS.7.EE.B.4B

 $4\left(2x-1\right)>-7+2x$  

•  $x<-2$  

•  $x<-\frac{1}{2}$  

•  $x>-2$  

•  $x>-\frac{1}{2}$  

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

 $4\left(y+4\right)\le16$  

•  $y\le0$  

• No Solution

•  $y\le2$  

Tags

CCSS.7.EE.B.4B

• All Real Numbers

• No Solution

 $2h+11>-7+4h-16$  

•  $h<17$  

•  $h<6$  

•  $h>-17$  

•  $h>-6$  

• Subtract 2x on both sides

• Distribute: multiply -4 by x and by -9

• Add x to 2x

• Add 9 to both sides

TRUE or FALSE:

When solving an inequality, you leave the inequality symbol the same even if you divide by a negative coefficient to isolate the variable.

• TRUE

• FALSE

• There is not enough information to determine this.

Tags

CCSS.6.EE.B.8