Week 8 homework notes

# Week 8 homework notes - In interval notation square...

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In interval notation, square brackets show that endpoints are included, but the parentheses on the graph show that the endpoints of the shaded portion are not. Parentheses on the graph correspond to parentheses in interval notation Write the set in interval notation {x|x-3} ANSWER (,33] Write the set in interval notation {x|-3>x>-6} ANSWER (-6,-3) Write the interval notation for the given graph (-----------------------------------) -2 -1 0 1 2 3 4 5 6 ANSWER (-2,6) Solve. Then graph T+177 To solve, minus 17 from both sides T+17-177-17 T-10 To graph, find -10 on the number line. Since t can equal -10, a square bracket should be used. The arrow should point in the same direction as the inequality symbol [--------------- -10 -9 -8 -7…… Solve: **To use the multiplication principle, either multiply or divide both sides by the same number. If the number is positive keep the same inequality symbol. If the number is negative, reverse the inequality symbol** Multiply both sides by -2/3 (the reciprocal of -3/2) -2/3*-3/2x-2/3*-5/4 X5/6

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The solution set is {x|x5/6} Solve The solution set is Solve 9x+1<55 (x+1-1<55-1 9x<54 X<6 The solution set is {x|x<6} Solve .4x+8.8x-7 8+7</.8x-.4x 15</.4x 37.5</X The solution set is Solve 2/3(2x-1)>10 4/3x-2/3>10 4/3x>10+2/3=30/3+2/3=32/3 4/3x>32/3 X>(32/3)/4/3=32/3*3/4=32/4=8 X>8 The solution set is {x|x>8} Solve 2/3(3x-6)>12
->12 2x-4>12 2x>12+4 2x>16 x>8 The solution set is {x|x>8} The body mass index I, can be used to determine an individual’s risk for heart disease. An index less than 25 indicates a low risk. The body mass index is given by the formula/model, I= where W=weight in pounds and H=height in inches. Francis weighs 174 pounds and stands 76 inches tall. What is his approximate body mass index?

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