Solving for Inequalities

x + 5 > 7

• x > -2
• x > 2
• x > 12
• x > -12

r - 14 ≥ 17

• r ≥ 3
• r ≥ -31
• r ≥ 31
• r ≥ -3

24 ≤ h + 15

• h ≥ -9
• h ≥ 9
• h ≤ 9
• h ≤ 39

23 < f + 12

• f > 11
• f > 35
• f < 35
• f < 11

8x < 48

• x < -6
• x > -6
• x < 6
• x > 6

Which sentence represents m > 41?

• Mary’s points, m, totaled more than 41
• Calvin ran no less than 41 miles, m
• The temperature, m, was less than 41°F
• The magazines’ cost, m, was not more than $41.

How would you solve this inequality?
m - 9 ≤ 20

• By adding 20 to both sides
• By subtracting 9 to both sides
• By adding 9 to both sides
• By subtracting 20 to both sides

28 > m - 4

• m < 32
• m > 32
• m < 24
• m > 24

A slice of pizza costs $3.50.  You have $25.00 in your wallet to spend on pizza.  Write an inequality to represent the number, p, of slices of pizza you can buy.

• 3.50p < 25.00
• 3.50p > 25.00
• 3.50p ≤ 25.00
• 3.50p ≥ 25.00

Translate the following sentence into an inequality
four more than a number is less than 17

• x + 4 > 17
• x + 4 ≤ 17
• x + 4 < 17
• x < 17 + 4