Inequalities

Which inequality matches the graph?

• x<3

• x>3

• x<3

• x>3

Tags

CCSS.6.EE.B.8

Translate the word sentence into an inequality: "2 less than a number is more than 8."

• $x+2<8$

• $x-2<8$

• $x-2>8$

• $x+2\le8$

Solve:  $-\frac{x}{3}<5$  

•  $x>-15$  

•  $x<36$  

•  $x<15$  

•  $x>-2$  

Sara earns $9 per hour babysitting. She must earn a minimum of $81 next month to attend a concert. If h represents the number of hours Sara babysits, write an inequality to describe the situation.

• $9h\le81$

• $9h\ge81$

• $9h>81$

• $9h<81$

Skate World offers birthday parties for a fee of $130 plus $3 per person. If you can spend no more than $190 on your party, what is the maximum number of people who can attend?

• 15

• 12

• 20

• 14

Rhonda raised $245 for her softball team's fundraiser. She wants to raise no less than $455. Write and solve an inequality to determine how much more money Rhonda must raise to reach her goal. Let d represent the amount of money in dollars Rhonda must raise to reach her goal.

• 245 $+$ d $\ge$ 455; d $\ge$ 210

• 245 $+$ d $\ge$ 455; d $>$ 455

• 245 $+$ d $=$ 455; d $=$ 210

• 245 $+$ d $>$ 455; d $>$ 210

Solve:  $\frac{4x+6}{7}<2$  

•  $x>7$  

•  $x>-7$  

•  $x<-2$  

•  $x<2$  

Write and solve the algebraic inequality.  The product of  $-3$   and a number is at least  $-24$  .

•  $-3x\ge-24;\ \ x\le8$  
  

•  $-3x\ge-24;\ \ x\ge8$  

•  $-3x<-24;\ \ x>-8$  

•  $-3x>-24;\ \ x>-8$  

 $Solve:$  $-2\left(3-8x\right)-3x<-110$  

•  $x<-30$  

•  $x<-8$  

•  $x<-24$  

•  $x<-33$  

 $Solve:$  $3\left(k-9\right)>3k+6$  

•  $k>-3\ \frac{1}{2}$  

•  $no\ solution$ 

•  $all\ real\ numbers$  

•  $k>5\ \frac{1}{2}$