 Solve the following equations. 1. 3x= x+3= (x+1)=12

 Bell ringer  What are inequalities?  Activity – Foldable  Graphing Inequalities – Independent work  Solving inequalities

 Is a range of values, rather than ONE set number  An algebraic relation showing that a quantity is greater than or less than another quantity. Speed limit:

 Foldable – Notes Portion – Graphing Inequalities  Flip Flops – Order Matters  Graphing Inequalities independent work

Less than Greater than Less than or equal to Greater than or equal to Not equal to

b < Open Circle Closed Circle a > Open Circle Closed Circle Open Circle

Variable Inequality Symbol Constant Ex: X > -7 If you have to “flip flop” the sides of the inequality, you must also “flip flop” the inequality symbol! Ex: 11 is greater than b 11>b means b is less than 11 b<11

Solving a linear inequality for one variable is much like solving a linear equation in one variable. Isolate the variable on one side using inverse operations. Add the same number to EACH side. x – 3 < 5 +3 x < 8

Subtract the same number from EACH side. -6

Solve the Inequality then graph the solution

Solve the Inequality then graph the solution.

When you multiply or divide each side of an inequality by a negative number, you must reverse the inequality symbol to maintain a true statement.

Multiply each side by the same positive number. (2)

Divide each side by the same positive number. 33

Multiply each side by the same negative number and REVERSE the inequality symbol. Multiply by (-2). (-2) See the switch

Divide each side by the same negative number and reverse the inequality symbol. -2