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

Respuesta :

The inequality that represents the possible area of the triangle is 2/7a < 10

The solution to the inequality is a < 35

Solving linear inequalities

From the question, we are to write and solve an inequality that represents the possible area, a, of the triangle

From the given information,

The base of the triangle is given by

b = 2/7a

Also, from the given information,

The base of the triangle is less than 10

That is,

b < 10

Then,

we can write that

2/7a < 10

This is the inequality that represents the possible area of the triangle

Now, solve the inequality

2/7a < 10

Multiply both sides of the equation by 7/2

7/2× 2/7a < 7/2× 10

a < 7 × 5

a < 35

Hence, the inequality that represents the possible area of the triangle is 2/7a < 10

The solution to the inequality is a < 35

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