Solving Linear Inequalities

Pick the correct letter for the graph of:

6 > x

Hint: You need to REWRITE the inequality with the variable first.

• A

• B

• C

• D

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

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

• y ≤ ½

• y ≤ 2

• y ≥ ½

• y ≥ 2

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

Which is a solution of

5(2v + 3) - 10v > -10

• no solution

• v > 5

• v > -5

• all real numbers

Does the given value make the inequality true? 
 x + 9 > 21, when x = 15

• True

• False

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

• s < 55

• s > 55

• s ≤ 55

• s ≥ 55