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Pearson Algebra 1 Common Core, 2011

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Pearson Algebra 1 Common Core, 2011 View details

4. Solving Multi-Step Inequalities

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Exercise 10 Page 190

Begin by isolating n on the left-hand side.

n > - 5/2

Practice makes perfect

Let's isolate n to solve the inequality.

6n-3>- 18

LHS+3>RHS+3

6n>-15

.LHS /6.>.RHS /6.

n>- 15/6

a/b=.a /3./.b /3.

n>- 5/2

MoveNegDenomToFrac

Put minus sign in front of fraction

n > -5/2

The solution n > - 52 means that any number greater than - 52 will satisfy the inequality.

Checking Our Answer

Checking Our Answer

Let's check our answer with a few arbitrary values.

n	6n-3>- 18	Simplify	True or False?
-5	6( -5)-3? >-18	-33≯-18	False
-5/2	6( -5/2)-3? >-18	-18≯-18	False
-1	6( -1)-3? >-18	-9>-18	True

We can see that we correctly solved the inequality since only the value greater than - 52 is true.

Subchapter links

Lesson Check p.189

Practice and Problem-Solving Exercises p.190-192

Standardized Test Prep p.192

Mixed Review p.192