MATH SOLVE

3 months ago

Q:
# 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.

Accepted Solution

A:

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 inchesStep-by-step explanation:we have[tex]260 \leq 4h+28 <324[/tex]Divide the compound inequality into two inequalities[tex]260 \leq 4h+28[/tex] -----> inequality A[tex]4h+28 <324[/tex] -----> inequality BSolve inequality A[tex]260 \leq 4h+28[/tex]Subtract 28 both sides[tex]232 \leq 4h[/tex]Divide by 4 both sides[tex]58 \leq h[/tex]Rewrite[tex]h \geq 58\ in[/tex]Solve the inequality B[tex]4h+28 <324[/tex]Subtract 28 both sides[tex]4h <296[/tex]Divide by 4 both sides[tex]h <74\ in[/tex]thereforeThe 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