# The width of a soccer field must be between 55 yd and 80 yd. What compound inequality represents the width of a soccer field? What are possible values for the field's width if the width is a multiple of 5?

Dec 13, 2017

The compound inequality that represents the width $\left(W\right)$ of a soccer field with the stipulations is as follows:

$55 y d < W < 80 y d$
Possible values (multiple of $5 y d$) are: $60 , 65 , 70 , 75$

#### Explanation:

The inequality indicates that the value of $W$ is variable and can lie between $55 y d \mathmr{and} 80 y d$, the definition of the possible range for $W$.

The two $<$ signs are facing the same direction indicating a closed range for $W$.

'Between' implies that the end values are NOT included,
'From' implies that the end values are included.

The compound inequality in this case stipulates that neither the beginning nor end values are included in the range of values, so no equal signs are required.

There is more compound inequality information here:
http://www.coolmath.com/algebra/07-solving-inequalities/06-compound-inequalities-01