Emily wants to buy a square tablecloth to cover a square card table. she knows the tabletop has an area of 9 square feet. what are the minimum dimensions of the tablecloth emily needs? [ ] feet by [ ] feet.

3 ft by 3 ft

Step-by-step explanation:

The minimum dimensions will be those of a square with an area of 9 ft².

The formula for the area of a square is

A = l²     Substitute the area

9 = l²     Take the square root of each side

l = 3

The minimum dimensions are 3 ft by 3 ft.

we have

we know that

the absolute value has two solutions

step 1

find the first solution (case positive)

the solution is the > (5/3,∞)

step 2

find the second solution (case negative)

> multiply by

the solution is the > (-∞,-3)

therefore

the answer is

the compound inequality is

or

the solution is (-∞,-3) u (5/3,∞)  

the solution of the compound inequality in the attached figure