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Solving inequalities. An equation. Solve this and graph the answer on a number line: x - 2 = 5.

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Presentation on theme: "Solving inequalities. An equation. Solve this and graph the answer on a number line: x - 2 = 5."— Presentation transcript:

1 Solving inequalities

2 An equation. Solve this and graph the answer on a number line: x - 2 = 5

3 Inequality Symbols

4 Consider this example: x – 2 > 5 An inequality.

5 Find all of the possible solutions (solve). Draw a number line. Where you put the answer, you have two options: – open circle for – closed circle for ≤ and ≥ Then shade in the direction of the possible solutions. To graph an inequality with one variable…

6 Solving Inequalities with Addition and Subtraction 1. y – 2 < 62. m + 7 ≥ -14

7 Solving Inequalities with Multiplication and Division Multiplication and Division are done exactly the same way as equations with one exception: – ANY time you multiply or divide BOTH sides by a negative number, you must flip the sign.

8 Solving Inequalities with Multiplication and Division 1. 2s < 422. 3h > 45

9 Solving Inequalities with Multiplication and Division 3. –8p > -324. –4d < -12

10 Solving Inequalities with Multiplication and Division 5. > -26. > -6

11 Solving Inequalities with Multiplication and Division 7. > -38. < 2.6

12 Multi-step and variables on both sides inequalities

13 12 + 3a < 18  -5y + 13 > -2

14 7 – 3k < 2k – 8 2r – 18 < 5r + 3

15 3c – 2 > 3(c – 1) –5(x + 3) > -5x + 1


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