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Lesson 6.1 – 6.2 How do you solve and graph inequalities using addition and subtraction? Solve the inequality by adding, subtracting, multiplying or dividing.

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Presentation on theme: "Lesson 6.1 – 6.2 How do you solve and graph inequalities using addition and subtraction? Solve the inequality by adding, subtracting, multiplying or dividing."— Presentation transcript:

1 Lesson 6.1 – 6.2 How do you solve and graph inequalities using addition and subtraction? Solve the inequality by adding, subtracting, multiplying or dividing the same number from each side, isolating the variable. If you multiply or divide by a negative number, flip the inequality symbol. Graph all solutions on a number line. Use open circles for < and >. Use closed circles for ≤ and ≥.

2 Lesson 6.3 How do you solve multi-step inequalities?
Use the distributive property if necessary. Use inverse operations to isolate the variable. Remember to flip the inequality symbol if you multiply or divide by a negative number. Graph all solutions on a number line. Use open circles for < and >. Use closed circles for ≤ and ≥.

3 Lesson 6.4 How do you solve and graph compound inequalities?
Solve two inequalities in the compound inequality separately using inverse operations to isolate the variable. Graph all solutions on a number line. Use open circles for < and >. Use closed circles for ≤ and ≥.

4 Lesson 6.5 How do you solve absolute value equations?
Write two equations. Set one equation equal to the positive answer. Set one equation equal to the negative answer. Solve each equation separately.

5 Lesson 6.6 How do you solve absolute value inequalities?
Rewrite the absolute value inequality as one compound inequality or two separate inequalities. Use inverse operations to isolate the variable. Graph all solutions on a number line. Use open circles for < and >. Use closed circles for ≤ and ≥.

6 Lesson 6.7 How do you graph linear inequalities in two variables?
Graph the boundary line, using a dashed (< or >) or solid line (≤ or ≥). Shade the region containing all solutions. Shade above the boundary line for > and ≥. Shade below the boundary line for < and ≤.


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