Linear Inequalities (One Variable) And Or

When should you write two expressions for an absolute value inequality?

• After isolating the absolute value symbol and determining "and" or "or" statement

• Before solving the inequality

• When the inequality has a greater than symbol

• When the inequality has a less than symbol

What is the solution to the inequality |x - 4| < 6?

• x < -2 or x > 10

• x < -10 or x > 2

• x < -8 or x > 8

• x < -6 or x > 6

Solve. Write your answer in interval notation.

6 - 2|x -3| > -4

• No Solution

Solve the inequality. 
|3 + r|/7 < 5

• r < 32

• -38 < r < 32

• r < -38

• No solution

| 2x + 12 | < 8
Which is the correct first step?

• 2x + 12 < 8 and 2x+12 >-8

• 2x + 12 < 8 or 2x+12 >-8

• 2x + 12 < 8 and 2x+12 <-8

• 2x + 12 < 8 or 2x+12 >-8

Describe the proper inequalities to solve |3c - 4| < 12

• 3c - 4 < 12 and 3c - 4 >-12

• 3c - 4 < -12 and 3c - 4 >12

• 3c - 4 < 12 or 3c - 4 >-12

• 3c - 4 < -12 or 3c - 4 >12

On the interstate for someone to get a ticket for speed, they must be less than 45 mph or greater than 75 mph. What absolute value inequality describes the speeds of those receiving a ticket?

• |x-120| less than or = 30

• |x-60| less than or = 15

• |x+120| greater than or = 30

• |x+60| greater than or = 15

What has to be done first in order to solve this inequality?

• subtract 3 from both sides

• distribute the 3

• divide both sides by 3

• nothing

|b-8|+10>22

• -4<b<20

• b<-4 or b>20

• 20<b<-4

• b=-4 or b=20

What is the correct first step?

 |x + 3| > 8

• Set up two cases with "and"

• Set up two cases with "or"

• Subtract 3 from both sides