Solving Linear Inequalities

What inequality does the number line graph represent?

• x ≤ 4

• x ≥ -4

• x < -4

• x < 4

What inequality does the number line graph represent?

• -x + 4 ≥ -1

• -2x + 3 > -7

• -x + 1 < -4

• 2x + 3 ≥ 13

Solve the inequality. Don't forget to check your solution set.
12 ≥ 15 - 6y

• y ≤ ½

• y ≤ 2

• y ≥ ½

• y ≥ 2

Solve:
6x+10>5x-12

• x>2

• x<2

• x<-22

• x>-22

Solve the linear inequality.

• x > -2

• x < -2

• x < 2

• x > 2

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

• x<24

• x>12

• x<12

• x>24

Sue's lunch account has $25 and she spends $2.50 every day. Troy's lunch account has $50 and she spends $3.25 every day. Write an inequality that shows when Sue's account will be more than Troy's.

• 25 - 2.5d > 50 - 3.25d

• 25 - 2.5d < 50 - 3.25d

• 25 + 2.5d > 50 + 3.25d

• 25 + 2.5d < 50 + 3.25d

x > 2

• x > 2

• x > 5

• x >15

• x > 50

Which is a solution of 5(2v + 3) - 10v > -10

• no solution

• v > 5

• v > -5

• all real numbers

Solve.

• x ≤ 14

• x < 14

• x ≥ 14

• x = 14