Objectives: 1.Graph (and write) inequalities on a number line. 2.Solve and graph one-variable inequalities. (Linear) 3.Solve and graph compound inequalities.

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Presentation transcript:

Objectives: 1.Graph (and write) inequalities on a number line. 2.Solve and graph one-variable inequalities. (Linear) 3.Solve and graph compound inequalities. (Linear) 4.Solve and graph ABSOLUTE VALUE inequalities.

I. Solving Inequalities Using Addition and Subtraction 1. x + 15 > x > Test Value: > > -13 FALSE Test Value: > > -13 True

I. Solving Inequalities Using Addition and Subtraction 2. x - 8 ≥ x ≥ Test Value: ≥ ≥ -21 Test Value:0 - 8 ≥ ≥ -21 False True

I. Solving Inequalities Using Addition and Subtraction 3. 5 x > x > Test Value:5(0) > 35 0 > 35 Test Value:5(8) > > 35 FalseTrue

4. -3 x > x < I. Solving Inequalities Using Addition and Subtraction RULE: WHENEVER YOU MULTIPLY OR DIVIDE BY A NEGATIVE NUMBER, YOU MUST FLIP THE INEQUALITY SIGN Test Value:-3(0) > > -48 Test Value:-3(20) > > -48 TrueFalse

5. -5x - 75 > x > x < -7 I. Solving Inequalities Using Addition and Subtraction 6. -4x > 8x x -437 > 12x > 12x > x

7. -5(5x + 3) > x - 15 > x > x < 14/5 I. Solving Inequalities Using Addition and Subtraction 8. 2x + 3 < 2x x 3 < -8 Since we are left with a FALSE statement that means this inequality has NO SOLUTION 9. 2x - 5 < 2x x -5 < -1 Since we are left with a TRUE statement that means this inequality has INFINITELY MANY SOLUTIONS