Problem Solving with Simple Inequalities

Solve the inequality.
x + 5 ≤ 13

• x ≥ 8
• x ≥ 18
• x ≤ 8 
• x ≤ 18 

Three times a number increased by 8 is no more than the number decreased by 4.

• 3x+8 ≤ x-4

• 3x+8 < x-4

• 3x+8 ≥ x-4

• 3x+8 > x-4

Match the graph with its inequality.

• 11 < a
• 11 > a
•  11 ≤ a
•  11 ≥ a

The sum of twice a number and 5 is at most 15. What are the possible values for the number?

• 2x - 5 ≤ 15

• 2x+5 ≤ 15

• 2x+5 < 15

• 2x-5 < 15

Pick the correct letter for:
6 > x

• A
• B
• C
• D

Which statement is modeled by 2p + 5 < 11?

• The sum of 5 and 2 times p is at least 11.

• Five added to the product of 2 and p is less than 11.

• Two times p plus 5 is at most 11.

• The product of 2 and p added to 5 is 11.

-4x + 14 ≤ 54

• x ≥ - 10
• x ≤ -10
• x ≥ 10
• x ≤ 10

Write an expression. 
Anita needs at least an 90 grade (g) on her test to get an A in math class.

• g ≤ 90
• g ≥ 90
• g < 90
• g > 90

Solve the inequality.

30 + n ≥ 50

• n > 50

• n ≥ 80

• n < 30

• n ≥ 20

True or False? x = 9 a solution to inequality x > 9

• TRUE

• FALSE