Chapter 7 - Inequalities

One-Step Add/Subtract

100

x + 3 < 10

x<7

200

x - 5 > -8

x > -3

300

x + 8 le 4

x le -4

400

x - 6 < -17

x < -11

One-Step Multiply/Divide

100

3x < 9

x<3

200

x/6 > -2

x > -12

300

x/-6 > -3

x < 18

400

-1/3x ge 5

x le -15

Two-Step Inequalities

100

2x + 1 > 9

x>4

200

x/3 - 4 < 2

x<18

300

-4x - 2 le 10

x ge -3

400

6 - 2x le -10

x ge 8

Word Problems

100

Judy earns $10 per hour babysitting. Write and solve an inequality to find how many hours she must work to earn at least $120. Interpret the solution. 

10h g/e 120

h g/e 12 hours

Judy must work at least 12 hours.

200

The soccer team can have no more than 26 players. Determine how many more players can make the team if the coach has already chosen 17 players. Interpret the solution. 

p+17 le26

p le 9

Up to 9 more players can join the team. 

300

Enrique reads 2 pages of his book every minute. He ahs already read 16 pages. If Enrique wants to read more than 40 pages, determine how many more minutes he must read. 

2p + 16 > 40

p > 7

Enrique needs to read more than 7 minutes.

400

Pearl has $80 to spend at the store. She purchases a game for $25. Determine how many books she can buy if they cost $10 each. Interpret the solution. 

10b + 25 le 80

b le 5.5 books

Pearl can buy up to 5 books.