The inequality that represents the possible area of the triangle is 2/7a < 10
The solution to the inequality is a < 35
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
Learn more on Solving linear inequalities here: https://brainly.com/question/25275758
#SPJ1