SECTION 3-6 : COMPOUND INEQUALITIES

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Presentation transcript:

SECTION 3-6 : COMPOUND INEQUALITIES ALGEBRA @ SECTION 3-6 : COMPOUND INEQUALITIES

Given the Venn Diagram at the right. Find A U B. Find . A 1 2 3 B 5 4 6 7 We can say that 1, 2, 3, 4, 5, 6 are in set A OR in set B. U – OR - AND We can say that 2 and 5 are in sets A AND B.

COMPOUND INEQUALITY : Two or more inequalities connected by the words and or or. INTERVAL NOTATION : A way to write an interval.

Graph. Then, write the answer in interval notation. 3) x > 0 and x < 5 4) w < 9 and w > 4 5) 4 < w < 9 Note that the answers to numbers 4 and 5 are the same.

ALGEBRA I - SECTION 3-6 (Compound Inequalities) 12/7/2018 Write as a compound inequality without using the word and . 6) x > -3 and x < 7 7) x < -5 and x > -16 smaller # < x < larger # larger # > x > smaller #

8) 7 < x – 4 < 20 9) -11 < -2k – 5 < 13 Solve and graph. 8) 7 < x – 4 < 20 9) -11 < -2k – 5 < 13 10) x > 7 or x < 3

11) 12) 3w + 5 < -7 or -4w – 3 < -15

Your evil math teacher, who shall remain nameless, is only giving two tests this grading period. They count equally; your grade will be the average of the two tests. Your first test grade was an 87. Write a compound inequality that describes what your second test grade must be in order for you to make an A for the class (90 or better). Be sure to clearly define your variable(s).