LINEAR INEQUALITIES. Solving inequalities is almost the same as solving equations. 3x + 5 > 20 - 5 - 5 3x > 15 x > 5 0 5 After you solve the inequality,

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Presentation transcript:

LINEAR INEQUALITIES

Solving inequalities is almost the same as solving equations. 3x + 5 > x > 15 x > After you solve the inequality, graph the solution. If it is, it is an open circle. If it is ≤ or ≥, it is a closed circle.

LINEAR INEQUALITIES Try again. x + 4 > x > 6 0 6

LINEAR INEQUALITIES Try some on your own! 1. x – 3 ≤ x – 8 ≥ x > 7 How did you do? 1. x ≤ x ≥ 1 3. x > -1/2

LINEAR INEQUALITIES What about these? 6 < 2x + 5 < 7 6 < 2x + 52x + 5 < < 2x 2x < 2 ½ < x x < 1 ½ < x < 1 Solve it as two separate problems and then put it back together. Don’t forget to graph it! 0 ½ 1

LINEAR INEQUALITIES There is only one rule that is different than equations. If you divide by a negative, you must flip the inequality sign. 5 – 7x ≥ x ≥ 35 x ≤ - 5Then graph the solution. -5 0

LINEAR INEQUALITIES Practice a few on your own or with a partner! Remember to graph your solution < x + 1 < ≤ x – 3 ≤ < 4 – x ≤ 3 And the answers are…… < x < ≤ x ≤ ≤ x < 7