How can we solve linear inequalities?

How can we solve linear inequalities?

Inequality signs and their meaning:

Solving a linear inequality:

Solving a linear inequality:

Does the solution make sense given the original inequality?

Graphing the solution on a number line.

Does the solution make sense given the original inequality. Check your solution.

Multiple Choice

-13t > 26

• t > -2
• t > 2
• t < 2
• t < -2

One major difference between solving a linear equation and inequality:

• When dividing by a negative number the inequality sign "flips"

• > becomes <

• >= becomes <=

Multiple Choice

• A)
• B)
• C)
• D)

Multiple Choice

• A)
• B)
• C)
• D)

Multiple Choice

Does the sign need to flip when solving?
-2x ≥ 22

• YES
• NO

Multiple Choice

Solve the inequality.

30 + n ≥ 50

• n ≥ 50

• x ≥ 80

• n ≤ 30

• n ≥ 20

Multiple Choice

Solve the inequality.
x + 5 ≤ 13

• x ≥ 8
• x ≥ 18
• x ≤ 8 
• x ≤ 18