The high soccer team can have no more than 26 players. How do you write and solve an inequality to determine how many more players can make the team if the coach has already chosen 17 players?

Question

Eli Assouline · Accepted Answer

An inequality we can write is: #17 + p <= 26#

The solution is: #p <= 9# Let's call the variable for "how many more players can make the Team" #p#. Because the Team can have "no more" than 26 players, it means they can have 26 players or less. This means the inequality we will be dealing with is the #<=# form. And we know the coach has already selected 17 players. So, we can write: #17 + p <= 26# Solving for #p# gives: #17 - 17 + p <= 26 - 17# #0 + p <= 9# #p <= 9#

Avery Alexander · Answer

undefined To write the inequality, you would use the inequality symbol "<=" since the number of players cannot exceed 26. So, the inequality would be:

17 + x <= 26

To solve for x, you would subtract 17 from both sides of the inequality:

x <= 26 - 17
x <= 9

Therefore, no more than 9 additional players can make the team.