Ch. 3.5 Compound Inequalities Compound inequality: are two inequalities that are joined by the word AND or the word OR 1.Writing a compound inequality ex 1: all real numbers that are at least -2 and at most 4 N ≥ -2 and n ≤ 4 -2 ≤ n ≤ 4 ex 2: Today’s temperatures will be above 32ᵒF, but not as high as 40ᵒF. 32 < t and t < 4032 < t < 40 ex 3: all real numbers greater than -2 but less than 32 40

Practice 1. All real numbers that are at least 2 and at most 9 2.All real numbers that are between -3 and 8

Solving a compound inequality containing AND ex: Solve -4 < r – 5 ≤ -1. Graph your solution Write the compound inequality as two inequalities joined by and. -4 < r – 5 and r – 5 ≤ < r and r ≤ 4

Solving a Compound Inequality Containing AND Ex 2: Solve -6 ≤ 3x < 15 Write my two inequalities -6 ≤ 3xand3x < ≤ xand x < 3 -2 ≤ x < 3

Practice < 2x – 1 < 7

Practice 1. 7 < -3n + 1 ≤ 13

Solving inequalities in word problems The acidity of the water in a swimming pool is considered normal if the average of three pH readings is between 7.2 and 7.8, all together. The first two readings for a swimming pool are 7.4 and 7.9. What are possible values for the third reading p will make the average pH normal? How do I find average? Where does my average have to be inbetween? 7.2 ≤ ( p) ≤ ≤ p ≤ ≤ p ≤ 23.4 I first need to get 3 out of the denominator in order to get p all by itself! (3)

21.6 ≤ p ≤ 23.4 Break into two inequalities ≤ pand p ≤ ≤ pand p ≤ 8.1

Practice Suppose the first two readings for the acidity of the water in a swimming pool are 7.0 and 7.9. What possible values for the third reading will make the average pH normal?

Homework Pages #’s 1-19 POW DUE TOMORROW!!!!!!!!!!