Solve Inequalities

What is the goal for solving equations and inequalities?

• Isolate the variable

• Find the value of the variable

• Inverse operations

• Multiply by the reciprocal

The process for solving equations and inequalities involves what three steps

• 1) Isolate the variable

  2) Inverse Operations

  3) Balance

• 1) Same Signs Add

  2) Different Signs Subtract

  3) Add the opposite

• Multiply by the reciprocal

• Find the value of the variable

An inequality can have how many answers?

• Infinite

• One

• None

• As many as you want

If you see the words "more than, above, over" you should use what sign

• >

• <

What inequality is represented in the picture?

• x = 6

• x > 6

How would you graph the following inequality?

• Closed circle over 42 going to the left

• Open circle over 42 going to the left

• Closed circle over 42 going to the right

• Open circle over 42 going to the right

Solve the following inequality

4x < 248

• x > 62

• x = 62

• x < 62

• p + 12 > 21

• 12p > 21

• p / 12 > 21

• 12p > 21

• 5w > 25

• w - 5 > 25

• w + 5 > 25

• w + 5 > 25

• 3y > 31

• y / 3 > 31

• y + 3 > 31

• y / 3 > 31