Chapter 2.1, Problem 26E

a.

To determine

To write: an inequality that represents the weights that the other competitors bench-pressed.

Answer to Problem 26E

  $x\le 377$

Explanation of Solution

Given Information:

The winner of a weight lifting competition bench-pressed 400 pounds and other competitors all bench-pressed at least 23 pounds less than the winner.

Let x represents weights bench-pressed by other competitors then x should be at least 23 pounds less than the weights bench pressed by the winner which is 400 pounds.

In equation form we can write as-

  $\begin{array}{l}x\le 400-23\\ \Rightarrow x\le 377\end{array}$

b.

To determine

if one of the other competitors was able to bench-press 379 pounds or not.

Answer to Problem 26E

No

Explanation of Solution

Given Information:

As found above the weight that other competitor can bench-press is given by-

  $x\le 377$

Since the value 379 is greater than 377 and does not satisfy the above inequality.

And hence there was no any competitor who bench-pressed the weight of 379 pounds.