Equations/Inequalities

When solving an inequality, what are the main things that are different from solving equations.

• Draw the line

• Use inverse operations to solve.

• Bring down the inequality symbol and FLIP the symbol  when you multiply or divide by a negative.

Choose an expression that is equivalent to the following
6n + 2(3 - 5n)

• n + 6

• 6 - 4n

• 16n + 6

Choose the first step in solving the following equation.
-3y - 12 = 14

• add 3 from both sides

• add 12 to both sides

• subtract 12 from both sides

0.1( x - 20 ) > 2

• x > 40

• x < 40

• x > 220

• -3m + 36
• -9m + 36
• 3m + 36

-12x > 36

• x > -3

• x > 48

• x < -3

- 3( 4 - 2x) = 6

• x = 1

• x = -3 

• x = 3

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

What is the goal for solving equations and inequalities?

• Isolate the variable

• Find the value of the variable

• Inverse operations

• Multiply by the reciprocal