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Pearson Algebra 1 Common Core, 2011

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Pearson Algebra 1 Common Core, 2011 View details

7. Exponential Growth and Decay

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Exercise 51 Page 466

What can you do to isolate a variable in an inequality?

t≥12

Practice makes perfect

Inequalities can be solved in the same way as equations, by performing inverse operations on both sides until the variable is isolated. The only difference is that when you divide or multiply by a negative number, you must reverse the inequality sign.

3/4t-4≥5

LHS+4≥RHS+4

3/4t≥9

LHS* 4/3 ≥ RHS * 4/3

t ≥ 9 * 4/3

MoveLeftFacToNum

a*b/c= a* b/c

t ≥ 9*4/3

DivFracByFracSameDenom

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

t ≥ 3*4/1

a/1=a

t ≥ 3*4

Multiply

t ≥ 12

This inequality tells us that all values greater than or equal to 12 will satisfy the inequality.

Subchapter links

Lesson Check p.463

Practice and Problem-Solving Exercises p.464-466

Standardized Test Prep p.466

Mixed Review p.466