Inequalities

Pick the correct letter for:
6 > x

• A
• B
• C
• D

-4x + 14 ≤ 54

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

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

• x<24
• x>12
• x<12
• x>24

You flip an inequality symbol when you...

• subtract
• multiply and divide only
• multiple by a negative number
• multiple or divide by a negative number

Your family needs 2 gallons of water this week, but you don’t want to buy any more than 8 gallons. Write an inequality representing the possible gallons of water you could buy this week.

• 2 ≤ x ≤ 8
• 2< x < 8
• 8 ≥ x ≥ 2
• 2> x > 8

A taxi cab costs $1.75 and $0.75 for each additional mile. You have $20 to spend on you ride. Which inequality could be solved to find how many miles you can travel, if m is the number of additional miles?

• 1.75n + 0.75 ≥ 20
• 1.75n + 0.75 ≤ 20
• 0.75n + 1.75 ≥ 20
• 0.75n + 1.75 ≤ 20

Solve: -3 ≤ 2x - 1 ≤ 5

• -1 ≤ x ≤ 3

• -2 ≤ x ≤ 6

• -3 ≤ x ≤ 3

• 1 ≤ x ≤ 3

Solve and give the final solution set:

-4x + 1 ≤ 21 and 5x + 2 < 22

• All real numbers

• x ≥ -5 or x < 4

• No Solution

• x ≥ -5 and x < 4

Solve:

3x + 2 < -7 or -4x + 5 < 1

• All real numbers

• x < -3 and x > 1

• x < -3 or x < 1

• x < -3 or x > 1

Solve 24 > -3r > -9 

• -8 < r < 3
• -8 > r > 3
• r > - 8 and r > 3 
• r > -8 or r < 3