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**y < 2**y 2 y > -4 y - 3 9y +1 < 19 5y +2 -y > 8 -7y -14 4y – 7y -7 < y + 9 -5y + 6 21**4.5 Using Inequalities**• Goal: To translate phrases to mathematical inequalities and then solve**The small 2 letter word IS….**Is huge! It tells you it is either =, >, < , ≥, or≤ If there is not an “is” then it is strictly an operation (+, -,X, or ÷)**6**-6 -4 -2 0 2 4 “x” is 2 x = 2 “x” is at least 2 x 2**6**-6 -4 -2 0 2 4 “x” is 2 x = 2 “x” is at least 2 “x” is at most 2 x 2 x 2**A number “y”is less than 4**y < 4 A number “y” is 3 less than 4 y = 4 - 3**A number “r” is at most -6**r -6**12 more than twice a number is less than 20**12+ 2n < 20 < 20**The sum of three consecutive integers is less than 75. What**are the greatest possible values of these integers? Let x = the first consecutive integer x + (x + 1) + (x + 2) < 75 3x + 3 < 75 X x < 24 23, 24, 25 24, 25, 26**The sum of three consecutive integers is less than 59. What**are the greatest possible values of these integers? Let x = the first consecutive integer x + (x + 1) + (x + 2) < 59 3x + 3 < 59 3x < 56 x < 18.67 18, 19, 20**2. Find the greatest possible pair of integers such that one**integer is 3 more than twice the other and their sum is less than 42. Let x = the “other” integer the “first” integer is 3 + 2x x + (3 + 2x) < 42 3x + 3 < 42 X x < 13 12 27 13,29 ?**The length of a rectangle is 5 cm more than twice the width,**and the perimeter is greater than 28 cm. What is the width of the rectangle? Let w = the width length is 5 + 2w 2w + 2(5 + 2w) > 28 6w + 10 > 28 w > 3**The base of a triangle is 8 cm. What height will make the**area greater than 32 cm2? Let h = the height Area = ½ • b • h ½ • 8 • h 4h > 32 h > 8**Gail works for a vending company. She gets paid $64 per**week plus 20% of her total sales. How much will her total sales for the week have to be in order for Gail to make at least $200? Let s = total sales Pay = 64 + 0.20(s) 64 + 0.2s 200 0.2s 136 5 • • 5 s 680**How long must the sides of an equilateral triangle be in**order for the perimeter to be greater than 45 m? Let s = each side 3s > 45 s > 15**Assignment:Page 189(2-26) evenWrite the questions for 2-14**and just write the data for 16-26