Question

The University of Central Florida’s cheerleading team has eighteen males and twenty-one females. If h represents the height of a team member, the inequality 260 ≤ 4h + 28 < 324 , represents the range of heights of the cheerleaders, in inches. Select all possible heights for the University of Central Florida’s cheerleaders.

Answer 1

Answer:

The range of heights of the cheerleaders is the interval [58, 74)

All real numbers greater than or equal to 58 inches and less than 74 inches

Step-by-step explanation:

we have

$260 \leq 4h+28 <324$

Divide the compound inequality into two inequalities

$260 \leq 4h+28$ -----> inequality A

$4h+28 <324$ -----> inequality B

Solve inequality A

$260 \leq 4h+28$

Subtract 28 both sides

$232 \leq 4h$

Divide by 4 both sides

$58 \leq h$

Rewrite

$h \geq 58\ in$

Solve the inequality B

$4h+28 <324$

Subtract 28 both sides

$4h <296$

Divide by 4 both sides

$h <74\ in$

therefore

The range of heights of the cheerleaders is the interval [58, 74)

All real numbers greater than or equal to 58 inches and less than 74 inches

Answer 2

Inequalities are used to represent unequal expressions.

The compound inequality that represents the height is: $58\le h < 74$

The compound inequality is given as:

$260 \le 4h + 28 < 324$

Subtract 28 from all sides

$260 - 28 \le 4h + 28 - 28< 324 - 28$

$232\le 4h < 296$

Divide through by 4

$58\le h < 74$

The above compound inequality means that:

The possible height starts from 58 (inclusive) and ends at a number less than 74

For instance:

• 58 is a possible height
• 73 is a possible height
• 74 is not a possible height

Read more about compound inequalities at:

https://brainly.com/question/24540195