Warm-Up Let A = {0,1,3,8}, B = {2,4,5,6,7,9}, and C = {0,1,8}. 4 minutes Find the following sets.

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Presentation transcript:

Warm-Up Let A = {0,1,3,8}, B = {2,4,5,6,7,9}, and C = {0,1,8}. 4 minutes Find the following sets.

9.2.1 Compound Sentences Compound Sentences Objectives: To solve and graph a conjunction of two inequalities in one variable

Conjunctions A sentence like x > 5 and x < 12 is called a conjunction. A conjunction of two statements is formed by connecting them with the word “AND.” A conjunction is true when both statements are true.

Example 1 Graph the conjunction x

Example 2 Graph the conjunction 2 < x < x > 2andx < 7

Practice Graph each conjunction. 1) -3 < x and x < 4 3) -2 < x < 5

Example 3 Solve and graph

Example 4 Solve and graph

Practice Solve and graph.

Homework p.408 #1-15 odds

Warm-Up 5 minutes Graph these conjunctions.

9.2.2 Compound Sentences Compound Sentences Objectives: To solve and graph a disjunction of two inequalities in one variable

Disjunctions A sentence like x 12 is called a disjunction. A disjunction of two statements is formed by connecting them with the word “OR.” A disjunction is true when one or both statements are true.

Example 1 Graph the disjunction x

Example 2 Graph the disjunction x < -2 or x 2.

Practice Graph each disjunction. 1) -3 > x or x > 4 3) -2 < x or x < 3

Example 3 Graph the disjunction 2x – x – 1 < 5or3x – 5 > x < 6 22 x < x > x > 5

Practice Solve and graph. 1) -2x – 6 > 4 or x + 5 > 8 2) -5x + 2 > 27 or x – 3 > 2

Homework p.408 #17,21,23,29,33-43 odds