Notes 1.5 Solving Inequalities (Day 2)
Compound Inequality: Two inequalities joined together by either the word "AND" or the word "OR."
Remember this when working with compound inequalities:
(1) If "AND" is being used, you must find values for the variable that solve for both inequalities.
(2) If "OR" is being used, you need values for the variable that will solve at least one of the inequalities. Examples:
I. Write the inequality that represents each sentence.
Ex 1. The average of Paul's test scores in English are between 75 and 86.
Ex 2. Joan is buying a Corvette. She wants to buy one either more than 25 years old or one less than 5 years old.
II. Solve each compound inequality. Graph the solution.
Ex. 3 4x ≤ ‐ 8 or 9x > 18
Ex 4. ‐2x ≤ 6 and ‐3x > ‐27 Ex 5. 5 ≤ 3x ‐ 1 and 2x < 12
Ex 6. 7w + 3 > 11 or 4w ‐ 1 < ‐13
Ex 7. 11 < 3y + 2 ≤ 20
Ex 8. 8 ≤ ‐2a ‐ 4 < 16