Intro to Solving Linear Inequalities

What inequality does the number line graph represent?

• x <= 4

• x>= -4

• x < -4

• x < 4

3(x-2)<2(x+9)

• x<24

• x>-24

• x<12

• x>18

Solve:
6x+10>5x-12

• x>2

• x<2

• x<-22

• x>-22

Solve:
7(x + 3) < 5x + 13

• x>-4

• x < 17

• x<-4

• x > -17

• Lars meets both of his expectations

• Lars works for the expected number of days but doesn't earn the expected number of money

• Lars earns the expected amount of money but doesn't work for the expected number of days

• Lars doesn't meet either of his expectations

• Astrid meets both of her expectations

• Astrid buys the expected number of fruits, but she does beyond her budget

• Astrid stays within her budget, but she doesn't buy the expected number of fruits

• Astrid doesn't meet either of her expectations

Lars meets both of his expectations

• Lars meets both of his expectations

• Lars works for the expected number of days but doesn't earn the expected number of money

• Lars earns the expected amount of money but doesn't work for the expected number of days

• Lars doesn't meet either of his expectations

The ordered pair (a)   is in the solution set of 8x+16y>32.

• (-3, 5)

• (0, 2)

• (-1, 1)

• (4, 0)

Solve:

5(v + 3) - 10v > -10

• v < 5

• v > 5

• v > -5

• v < -5

-2(x+2) < 14

• x < - 5

• x > -5

• x < -9

• x > -9