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Big Ideas Math Integrated I, 2016
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Big Ideas Math Integrated I, 2016 View details
1. Writing and Graphing Inequalities
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Exercise 26 Page 59

Practice makes perfect
a We are given that the winner of a weight-lifting competition bench-pressed 400 pounds. Let w be the weight the other competitors bench-pressed. If w was at least 23 pounds less than the winner's weight, then we know that the difference between weights is greater than or equal to 23.
400-w≥23 Let's solve this inequality for w.
400-w≥23
SubIneq

LHS-400≥RHS-400

- w≥-377
MultNegIneq

Multiply by -1 and flip inequality sign

w≤377
b Consider the inequality from Part A.

w≤377 To check if 379 is a solution, we will graph the inequality and w=379 on a number line.

As we can see, the solution set does not include 379. Therefore, it is not a solution to the inequality.

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arrow_right Communicate Your Answer p.53
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Communicate Your Answer 4 (Page 53)
arrow_right Monitoring Progress p.54-57
Monitoring Progress 1 (Page 54)
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arrow_right Exercises p.58-60
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