Use an inequality to solve the problem. A shopkeeper is making a triangular sign for his store front, but he must keep the sign under 20 square feet to adhere to the zoning laws. If the base of the sign is 20 feet, what is the maximum height of the triangular sign?

1/2*20<20

10x<20
x-2
The sign can be no more than 2 ft. high.

To find the maximum height of the triangular sign, we can use the formula for the area of a triangle, which is given by the equation:

Area = (1/2) * base * height

In this case, the base of the sign is given as 20 feet, and the maximum area allowed is 20 square feet. So, we can write the inequality equation as:

(1/2) * 20 * height ≤ 20

To solve for the maximum height, we can rearrange the equation:

10 * height ≤ 20

Now, we can isolate the height by dividing both sides of the inequality by 10:

height ≤ 2

Therefore, the maximum height of the triangular sign must be 2 feet.