Chapter 8 Unit Question How do inequalities affect algebraic concepts?

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Presentation transcript:

Chapter 8 Unit Question How do inequalities affect algebraic concepts?

Open Learning Logs Date on Left…Section 8 – 3 on right

Warm – Up

Section 3 How do we solve single-step algebraic inequalities?

Homework Check

On back of noteguide… It this true? 2 < 4 What if we multiply both sides by 3? Still true? 3 2 < < 12 What if we multiply both sides by – 3? Still true? – 3 2 < 4 – 3 – 6 < –12 What’s wrong here?

Multiplication Property of Inequality Given m < n If we choose a positive c, then cm < cn If we choose a negative c, then cm > cn BUT When we multiply both sides of an inequality by a negative number, we get SIGN FLIPPAGE!

SOLVE! SIGN FLIPPAGE??? Now name 3 possible solutions Graph the solution set

Solve!

Addition single steppers

Solve…Return of the GUSH!! GUSH!! And SIGN FLIPPAGE! GUSH!! And SIGN FLIPPAGE!

The length of a rectangle is 25 inches. If the AREA must be less than 175 square inches, what must the width be less than? l w < A 25 w < 175 w < 7 So the width must be less than 7 inches.

Homework HoffmaSheet 8-3