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?

1 Answer
Dec 11, 2016

Answer:

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

The solution is: #p <= 9#

Explanation:

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#