Solving Inequalities and Linear Inequalities

10 ≥ x - 3

• x ≤ 13

• x ≥ 13

• x ≤ 7

• x ≥ 7

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

Write an inequality for this situation:
You are driving, and the maximum speed limit is 55.

• s < 55

• s > 55

• s ≤ 55

• s ≥ 55

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

• y ≤ ½

• y ≤ 2

• y ≥ ½

• y ≥ 2

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

• x<24

• x>12

• x<12

• x>24

Solve:
4(2a + 3) < 3(a - 1)

• a<-3

• a>-3

• a<3

• a>3

-3 − 6(4x + 6) > -111

• x > 3

• x < 3

• x < -3

• x > -3

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 > 5
• x >15
• x > 50