REVIEW OF INEQUALITIESAugust 25th, 2014

Review of Symbols

Less Than: ____________ Greater Than: _______________ Less Than or Equal To: _________Greater Than or Equal To: _________

Solving Linear Inequalities

73y xy 642

Solving Systems of Linear InequalitiesTo solve a system of inequalities, you must find the ordered pairs that satisfy all inequalities.• One way to do this is to graph the inequalities

on the same coordinate plane.• The intersection of the graphs contains the

points which satisfy all the inequalities in the problem.

• If the graphs of the inequalities do not intersect, then the system has no solution.

Example 1 Solve the system of inequalities by graphing:

ACED.3: REPRESENTING CONSTRAINTS BY INEQUALITIES & BY SYSTEMS OF INEQUALITIES

August 25th, 2014

Example 1 Solve: Twice a number plus 5 is less than 7

Example 2 Grace wants to buy some new clothes, but she cannot afford more than $75 before the sales tax is added.

The blouses she wants are priced $17 each and the pants she wants are priced $25 each. Which inequality could be used to

determine b, the number of blouses, and p, the number of pants Grace can afford?

Part 1 The B & W Leather Company wants to add handmade belts and wallets to its product line. Each belt nets $18 in profit and each wallet nets $12 in profit. Write an inequality to

represent how many belts and wallets they would need to produce to make at least $324.

Part 2 The machine they use to make the belts and wallets can make at most 22 total items. Write an inequality to represent how many belts and wallets B & W Leather

Company can make total.

Part 3 How many belts and wallets can they make to maximize their profit?