Considering the definition of an inequality, the number of friends admitted must be less than or equal to 8, expressed as p ≤ 8
<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>Inequality in this case</h3>
In this case, you know that:
- A group of friends have no more than $325 to spend on parking and admission.
- Parking is $11
- Tickets cost $39.25 per person, including tax.
Being "p" the maximum number of people who can go to the amusement park, the inequality that expresses the previous relationship is
39.25 p + 11 ≤ 325
Solving:
39.25 p ≤ 325 -11
39.25 p ≤ 314
p ≤ 314÷ 39.25
<u><em>p ≤ 8</em></u>
Finally, the number of friends admitted must be less than or equal to 8, expressed as p ≤ 8
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