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Big Ideas Math Integrated I, 2016
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Big Ideas Math Integrated I, 2016 View details
1. Writing and Graphing Inequalities
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Exercise 55 Page 60

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

x<14

Practice makes perfect

Consider the given diagram.

Area of a Triangle Inequality
We can find the area of this triangle using the formula for the area of a triangle. A= 12bh We are told that the area A of the given triangle is less than 42 square meters. We can use this to write an inequality for the dimensions of the triangle. A < 42 ⇒ 1/2bh<42 Looking at the diagram, we notice that the height of the triangle is 6 meters and its base is x. Let's substitute these values into the inequality and solve it for x.
1/2bh<42
SubstituteII

h= 6, b= x

1/2( x)( 6)<42
â–Ľ
Solve for x
MoveRightFacToNumOne

1/b* a = a/b

(x)(6)/2<42
Multiply

Multiply

6x/2<42
CalcQuot

Calculate quotient

3x<42
DivIneq

.LHS /3.<.RHS /3.

x<14
Therefore, the base must be less than 14 meters.
Subchapter links expand_more
arrow_right Communicate Your Answer p.53
3
Communicate Your Answer 4 (Page 53)
arrow_right Monitoring Progress p.54-57
Monitoring Progress 1 (Page 54)
Monitoring Progress 2 (Page 54)
Monitoring Progress 3 (Page 55)
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Monitoring Progress 7 (Page 56)
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Monitoring Progress 10 (Page 56)
Monitoring Progress 11 (Page 57)
arrow_right Exercises p.58-60
Exercises 1 (Page 58)
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