Considering the definition of an inequality, the maximum number of tickets that they can buy is 10.
<h3>Definition of inequality</h3>
An inequality is the existing inequality between two algebraic expressions, connected through the signs:
- greater than >.
- less than <.
- less than or equal to ≤.
- greater than or equal to ≥.
An inequality contains one or more unknown values called unknowns, in addition to certain known data.
Solving an inequality consists of finding all the values of the unknown for which the inequality relation holds.
<h3>Maximum number of tickets that they can buy</h3>
In this case, you know that
- One ticket to a ride of the merry-go-round at the Sunday Fair costs $2.
- Jenny and her friends have $36 with them.
- After buying tickets to the merry-go-round, they want to be left with no less than $15.
So, they want to spend on the purchase of tickets for the merry-go-round a value less than or equal to $36 - $15= $21.
Being "x" the maximum number of tickets that they can buy, the inequality that expresses the previous relationship is
2x≤ 21
Solving:
x≤ 21÷2
<u><em>x≤ 10.5</em></u>
Then, the maximum number of tickets that they can buy is 10.
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