Write an inequality that represents the missing dimension x

The area is greater than 12 square inches.

The picture is a rectangle with 2 inches on the top and x on the side

Respuesta :

For this case we have that by definition, the area of a rectangle is given by:

[tex]A = a * b[/tex]

Where:

a, b: They are the dimensions of the rectangle.

In the statement we are told that "The area is greater than 12 square inches", then:

[tex]A> 12[/tex]

Also we have:

[tex]a = 2\\b = x[/tex]

Substituting we have:

[tex]2x> 12[/tex]

Dividing between 2 on both sides:

[tex]x> \frac {12} {2}\\x> 6[/tex]

Finally we have:

[tex]x> 6[/tex]

ANswer:

[tex]x> 6[/tex]

Answer:

X = 8

Got it right on my work.