Presentation on theme: "Compound Inequalities"— Presentation transcript:
1 Compound Inequalities Objective: To solve conjunctions and disjunctions
2 ConjunctionA sentence formed by joining two sentences with the word and.x > -3 and x < 4 in order for a value of x to make the statement true both conditions must be satisfied
3 Disjunction Formed by joining two sentences with the word or A solution only has to satisfy one of the conditions to be truex > 2 states that x > 2 or x = 2, notice that the dot is shaded in to show equality.x > 3 or x < 1213
4 Solving Inequalities With Disjunction 2x + 3 < 7 or -4x < -162x + 3 – 3 < 7 – 32x < 42x/2 < 4/2x < 2-4x < -16-4x/-4 > -16/-4x > 4x < 2 or x > 424
7 Try These! Solve and Graph each Compound Inequality -2 < 3x + 1 or 3x < -96 < 3x + 6 < 126 > 2x > -82x – 1 > 3 or x – 2 < 32x + 3 < 3 and x – 4 > 1x > -1 or x < -3Click for solution0 < x < 2-4 < x < 3All Real NumbersØ-3-12-43End show
8 -2 < 3x + 1 or 3x < -9 x > -1 or x < -3 Back to Try These!
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