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Inequalities. Inequality - a mathematical sentence that contains, or not equal.  reads as greater than  reads as less than < reads as less than or equal.

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Presentation on theme: "Inequalities. Inequality - a mathematical sentence that contains, or not equal.  reads as greater than  reads as less than < reads as less than or equal."— Presentation transcript:

1 Inequalities

2 Inequality - a mathematical sentence that contains, or not equal.  reads as greater than  reads as less than < reads as less than or equal to > reads as greater than or equal to ≠ not equal to Inequalities and their graphs

3 When graphing inequalities use o Open circle used for Shaded circle used for >, <

4 Inequalities and their graphs- answers When graphing inequalities use o Open circle used for Shaded circle used for >, <

5 Inequalities and their graphs

6 Inequalities and their graphs- answers x < -7x > -11 x < 2 x > -3

7 Inequalities and their graphs

8 t < 16 h > 7 p < 25 n < 0

9 Solving One-Step Inequalities Examples: 1.x + 8 > 19 2. -26 > y + 14 3. m + 3 > 6 4. -5 < x -6 5. 4 + x 13

10 Solving One-Step Inequalities - ans Examples: 1.x + 8 > 19 2. -26 > y + 14 x > 11 y < -40 3. m + 3 > 6 4. -5 < x -6 m 1 5. 4 + x 13 y > 0

11 Solving One-Step Inequalities Examples: 1.x - 15 29 3. V - 4 11 5. -16 -11

12 Solving One-Step Inequalities - ans Examples: 1.x - 15 29 x 42 3. V - 4 11 v 16 5. -16 -2 6. X - 9 > -11 x > -2

13 Solving One-Step Inequalities by dividing and multiplying When dividing or multiplying by a negative number you must reverse (flip) the inequality sign

14 Solving One-Step Inequalities

15 Solving One Step Inequalities - ans X > -2 x > 4 x < 1 x > -6 x > -4 x < -18 X < -20 x > -2

16 Solving One-Step Inequalities

17 Solving One-Step Inequalities - ans -5k -6 1/2 p > -7; p > -14 9k < 18; k < 2 1/3 p > -17; p> -51 -g > -5; g < 5

18 Solving Two-Step Inequalities Examples: 2y - 3 11 -10 > 1/2 x - 6 17 + 1/2 c < 14 -9 > -1/3 a + 6 -2m + 4 < 34 6 - x > 3 8.3 < (-0.5)g - 2.7

19 Solving Two-Step Inequalities - ans Examples: 2y - 3 11 a>4 -10 > 1/2 x - 6 x <-8 17 + 1/2 c < 14 c<-6 -9 > -1/3 a + 6 x>45 -2m + 4 -15 6 - x > 3 x<3 8.3 < (-0.5)g - 2.7 b<-22


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