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Big Ideas Math Integrated I, 2016

BI

Big Ideas Math Integrated I, 2016 View details

1. Writing and Graphing Inequalities

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Exercise 58 Page 60

How can you incorporate the formula for finding the area of a rectangle into an inequality?

x>6in.

Practice makes perfect

We are told that the area A of the given rectangle is greater than 12 square inches. A > 12in.^2 Recall the formula for the area of a rectangle. A=l w Here, l is the length and w is the width of the rectangle. Let's substitute this expression for A in our inequality. l w>12in.^2 We are also given the length of the rectangle, l= x, and the width, w= 2. If we substitute these values into our inequality, we will be able to solve for the missing dimension.

l w>12

l= x, w= 2

x( 2)>12

.LHS /2.>.RHS /2.

x>6

This inequality tells us that, for the area of a rectangle with width 2 inches to be greater than 12in.^2, the length must be greater than 6 inches. x>6in.

Subchapter links

Communicate Your Answer p.53

Monitoring Progress p.54-57

Exercises p.58-60