Inequalities

Belinda wants to buy some fish for her aquarium. She has $27 to spend and the fish cost $4.50 each. Write and solve an inequality to find how many fish Belinda can afford.

• $x\ \ge\ 6$

• $x\ \le\ 4$

• $x\ \le8$

• $x\le6$

Marva needs at least $130 to buy a new dress. She has already saved $58. She earns $8 an hour tutoring. Select the inequality AND the solution set to show how many hours she will need to tutor to buy the dress. (2 answers)

• $9\le h$

• $8\ +\ 58h\ \le\ 130$

• $8h+58\ \ge130$

• $h\le9$

 $23\ -\frac{x}{5}<32$  

•  $x<95$  

•  $x>85$  

•  $x\ge-95$  

•  $x>-45$  

 $30\le\frac{x}{-3}+33$  

•  $9\ge x$  

•  $x\le-189$  

•  $x\ge-21$  

•  $1\ge x$  

 $-2x+31-x<25$  

•  $x<-2$  

•  $x\ge-2$  

•  $x>-3$  

•  $x>-2$  

Raphael needs at least $7,000 to buy a used car. He already has $4,840. If he saves $80 per week, write and solve an inequality to find out how many weeks he must save to buy the car.

•  $w\ge148$  

•  $w\ge27$  

•  $w\ge29$  

 $\frac{y}{2}-20<-23$  

•  $y>-6$  

•  $y<-86$  

•  $y<-3$  

•  $y<-6$  

 $-3x-5<-50$  

•  $x>-15$  

•  $x=15$  

•  $x>15$  

•  $x<-15$  

 $\ -3\le x\$ .. How would you graph the inequality?

• open circle on -3, arrow going towards the left

• closed circle on -3, arrow going towards the left

• open circle on -3, arrow going towards the right

• closed circle on -3, arrow going towards the right

True or False: When you divide or multiply by a negative number, the inequality sign flips.

• TRUE

• FALSE