The set of elements that satisfies one statement and another statement. Objective - To solve compound inequalities involving “and” and compound inequalities involving “or”. Write a compound inequality that describes all the real numbers greater than -2 and less than 5. Conjunction - The intersection of two sets. x 2 >− and x 5 < 2 x 5 − < < “In-between statement” -3 -2 -1 0 1 2 3 4 5 6 -3 -2 -1 0 1 2 3 4 5 6 Write the following compound inequalities as “In Between” statements. x 3 and x 5 >− < 1) x 4 and x 10 > < 2) 3 x 5 − < < 5 x 3 > >− x 4 and x 10 > < 2) x 1 and x 8 < − >− 3) 4 x 10 < < 8 x 1 − < <− Solve and graph the compound inequality. 4 x 3 7 − < + < 4 x 3 7 − < + < 4 x 3 − < + and x 3 7 + < 3 3 − − 3 3 − − 4 x 3 7 − < + < 3 3 3 − − − 7 x 4 − < < 7 x − < x 4 < x 7 >− and x 4 < 7 x 4 − < < -7 0 4 9 3x 3 − < ≤ 3 3 3 Solve and graph. 5 3x 4 7 − < + ≤ 4 4 4 − − − 3 1 ≤ 3 x 1 − < ≤ -3 0 1 10 x 2 − − Solve and graph. 4 6 x 8 − ≤ − < 6 6 6 − − − 10 x 2 − ≤− < ≥ > 10 x 2 1 1 1 − − − -2 0 10 10 x 2 ≥ >− 2 x 10 − < ≤ ≥ > Disjunctions Write a compound inequality that describes all real numbers less than -2 or greater than 5 The set of elements that satisfies one statement or another statement. Disjunction - The union of two sets. all real numbers less than 2 or greater than 5. x 2 < − or x 5 > -3 -2 -1 0 1 2 3 4 5 6 Graph. Lesson 3-6 Algebra Slide Show: Teaching Made Easy As Pi, by James Wenk © 2010