Chapter 8.6, Problem 38IP

To determine

Write an inequality that represents the second player`s passing yards.

Answer to Problem 38IP

The inequality represents the 2^nd player`s passing yards is $\text{x}\le \text{3918}$

Explanation of Solution

Given:

In a recent year, a professional football player threw for 4418 yards. This is at most 500 yards more than a second player`s passing yards. Write an inequality that represents the second player`s passing yards.

Concept Used:

Let x be second`s player`s passing yards, which is 500 more than the professional football player.

Therefore add 500 to 2^nd player`s passing yards.

Thus the inequality is $x+500\le 4418$

Calculation:

Let x be second`s player`s passing yards, which is 500 more than the professional football player.

Therefore add 500 to 2^nd player`s passing yards.

The inequality is $x+500\le 4418$

  $\begin{array}{l}x+500\le 4418\\ x+500-500\le 4418-500\text{[}\text{Subtract}500\text{from}\text{both}\text{sides}\text{]}\\ \text{x}\le \text{3918}\end{array}$

Thus, the inequality represents the 2^nd player`s passing yards is $\text{x}\le \text{3918}$