The base of a triangle with a height of 7 units is represented by the formula b=2/7A. The base of th | MathCelebrity Forum

The base of a triangle with a height of 7 units is represented by the formula b=2/7A. The base of th

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The base of a triangle with a height of 7 units is represented by the formula b=2/7A. The base of the triangle is less than 10 units. Write and solve an inequality that represents the possible area A of the triangle

We're given:
b=2/7A

We're also told that b is less than 10. So we have:
2/7A < 10
2A/7 < 10

Cross multiply:
2A < 7 * 10
2A < 70

Divide each side of the inequality by 2 to isolate A
2A/2 < 70/2

Cancel the 2's on the left side and we get:
A < 35
 
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