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Big Ideas Math Integrated I, 2016

BI

Big Ideas Math Integrated I, 2016 View details

1. Measures of Center and Variation

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Exercise 43 Page 338

Isolate a variable in an inequality by performing inverse operations.

w < 3/2

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.

4(3-w)>3(4w-4)

Distribute 4

12-4w > 3(4w-4)

Distribute 3

12-4w > 12w-12

LHS+12>RHS+12

24-4w > 12w

LHS+4w>RHS+4w

24 > 16w

.LHS /16.>.RHS /16.

24/16>w

Rearrange inequality

w< 24/16

a/b=.a /8./.b /8.

w < 3/2

The above tells us that all values less than 32 will satisfy the inequality.

Subchapter links

Communicate Your Answer p.331

Monitoring Progress p.332-335

Exercises p.336-338