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Big Ideas Math Integrated I, 2016
BI
Big Ideas Math Integrated I, 2016 View details
3. Solving Inequalities Using Multiplication or Division
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Exercise 27 Page 71

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

Error: See solution.
Correct Solution: x<-9

Practice makes perfect
The error in the shown solution occurs between the first and second lines. The person solving the inequality correctly multiplied by the reciprocal of the fraction to isolate x. However, the reciprocal is not negative so there was no need to change the direction of the symbol. If we fix this error, we can find the correct solution.
-6>2/3x
MultIneq

LHS* 3/2 > RHS * 3/2

3/2*(-6)>3/2*2/3x
â–Ľ
Multiply
MultFracByInverse

a/b* b/a=1

3/2*(-6)>x
MoveRightFacToNum

a/c* b = a* b/c

3*(- 6)/2>x
MultPosNeg

a(- b)=- a * b

- 18/2>x
MoveNegDenomToFrac

Put minus sign in front of fraction

-18/2>x
CalcQuot

Calculate quotient

-9>x
RearrangeIneq

Rearrange inequality

x<-9
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 7 (Page 69)
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)
Exercises 2 (Page 71)
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