Objective The learner will solve & graph compound inequalities

Compound Inequalities Lesson 6-4 Compound Inequalities

Definitions Compound inequalities are two inequalities considered together. Two inequalities that are joined by the word and or the word or form a compound inequality. The word inclusive is related to the word included. REMINDER: ... multiplying or dividing by a negative number changes the direction of the inequality.

To solve a compound inequality, first separate it into two inequalities. Determine whether the answer should be a union of sets ("or") or an intersection of sets ("and"). Then, solve both inequalities and graph.

Now you try: Write a compound inequality that represents each situation. Graph your solution. a. all real numbers greater than -2 but less than 9 b. The books were priced between $3.50 and $6.00, inclusive.

Just for thought A solution of a compound inequality joined by and is any number that makes both inequalities true. One way you can solve a compound inequality is by writing two inequalities.

Now you try: Write an inequality that represents all real numbers that are at most -5 or at least 3. Graph your solution.

Just for thought. For a compound inequality joined by or, you must solve each of the two inequalities separately.

Write an inequality for the situation All real numbers at most -1 or at least 8. In town, the maximum speed is 55 mph and the minimum speed is 20 mph

Solve the compound inequality: Now you try: Solve the compound inequality: -2x + 7 > 3 or 3x – 4 ≥ 5 Graph your solution.

Word Problem Jenny is saving money for an iphone and needs at least $300.00 She has saved $100.00 so far and is saving $10 a week. Write an inequality to model the situation. How many weeks will it be until Jenny has at least $300.00