Q49. - Algebra 2

Question

For exercises 49 and 50, use the following information.

The U.S. Postal Service defines an oversized package as one for which the length L of its longest side plus the distance D around its thickest part is more than 108 inches and less than or equal to 130 inches.

Write a compound inequality to describe this situation.

Step-by-Step Solution

Answer

$\mathbf{108}<\mathbf{L}\mathbf{+}\mathbf{D}\le \mathbf{130}$

Step 1 &ndash; Description of step.

A compound inequality consists of two inequalities joined by the word and or the word or.

Step 2 &ndash; Description of step.

The length of the longest side of the package is $L$ and $D$ is the distance around the thickest part. According to the Postal Service oversized package is the one whose longest length plus thickest part distance is more than 108 inches and less than or equal to 130 inches.

Step 3 &ndash; Description of step.

Write an inequality to describe the given situation using the information in step 2.

 

$108<L+D\le 130$

 

Therefore, the inequality describing the given situation is $108<L+D\le 130$.