Solving Compound Linear Inequalities

Check all the solutions to the following compound inequality. -5 < x < 3

• 0

• -10

• -2

• 1

• 3

Two inequalities connected with the words And or OR are called _________ inequalities.

• simple

• compound

• equal

• complex

Check all the solutions to the following compound inequality.

X < -2 OR X > 7

• -2

• 8

• 0

• -4

• 1

When solving an inequality, when do you switch the inequality symbol?

• You never switch the inequality symbol

• When adding or subtracting a negative number

• When multiplying or dividing by a negative number

• When there is a negative in the problem

Solve:  -3 ≤ 2x - 1 ≤ 5

• -1 ≤ x ≤ 3

• -1 < x < 3

• 1 < x < 3

• 1 ≤ x ≤ 3

• 20

• 21

• 22

• 23

Solve:

• A

• B

• C

• D

Solve the following inequality:

3x + 2 < −4 or 4x + 4 > 24

• x < −2 or x > 5

• x < 2 or x > 5

• x < −2 and x > 5

• x < 2 and x > 5

Solve the compound inequality above and identify the graph which represents the solution.

• A

• B

• C

• D

Solve:
6x+10>5x-12

• x>2

• x<2

• x<-22

• x>-22