Considering the definition of an inequality, the inequality that could be used to determine how many of each item Sally can purchase is 4.50D + 2.25B ≤ 30.
<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:
- Sally wants to purchase D dozen donuts for $4.50 each.
- Sally wants to purchase B boxes of cookies for $2.25 each.
- She can spend at most $30.
The inequality that expresses the previous relationship is
4.50D + 2.25B ≤ 30
Finally, the inequality that could be used to determine how many of each item Sally can purchase is 4.50D + 2.25B ≤ 30.
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