Solving Inequalities

Solving Inequalities and Absolute Value Equations

​We refer to these symbols as INEQUALTIES

​

​Solving Inequalities

​Watch this video to learn the meaning of Inequalities:

​https://youtu.be/e_tY6X5PwWw

1. ​To solve inequalities, the rules are the same when there's an equal sign, EXCEPT ONE RULE!

2. ​If you are multiplying or dividing by a negative the inequality FLIPS

​Solving Inequalities

1. Example 1)

   3x + 2 < 6

   1. - 2 -2

   2. 3x < 6

   3. 3 3

   4. x<2

1. Example 2)

   -3x + 2 < 6

   1. - 2 -2

   2. -3x < 6

   3. -3 -3

   4. x>-2

​Notice how the sign flipped for the 2nd Example!

Multiple Choice

What is the value of x, given the equation -2x + 4 < 10 ?

• x = 3

• x > 3

• x <-3

• x <3

Multiple Choice

What is the value of x, given the equation 3x + 6 < 12 ?

• x < 2

• x = 2

• x > 2

• x = -2

• x < -2