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Big Ideas Math Integrated I, 2016
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Big Ideas Math Integrated I, 2016 View details
3. Solving Inequalities Using Multiplication or Division
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Exercise 28 Page 71

In what situations do you need to change the direction of the inequality symbol?

Error: See solution.
Correct Solution: y≥8

Practice makes perfect
The error in the shown solution occurs between the first and second lines. The person solving the inequality correctly divided by -4 to isolate x. However, dividing by a negative number requires us to change the direction of the inequality symbol. If we fix this error, we can find the correct solution.
-4y≤-32
DivNegIneq

Divide by -4 and flip inequality sign

-4y/-4≥-32/-4
DivNegNeg

- a/- b=a/b

4y/4≥32/4
CalcQuot

Calculate quotient

y≥8
Subchapter links expand_more
arrow_right Communicate Your Answer p.67
3
Communicate Your Answer 4 (Page 67)
arrow_right Monitoring Progress p.68-70
Monitoring Progress 1 (Page 68)
Monitoring Progress 2 (Page 68)
Monitoring Progress 3 (Page 68)
Monitoring Progress 4 (Page 68)
Monitoring Progress 5 (Page 69)
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Monitoring Progress 8 (Page 69)
Monitoring Progress 9 (Page 69)
Monitoring Progress 10 (Page 69)
Monitoring Progress 11 (Page 70)
Monitoring Progress 12 (Page 70)
arrow_right Exercises p.71-72
Exercises 1 (Page 71)
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