Considering the definition of an inequality, the inequality that represents the situation is 2m + 8≤20 and indicates that Jason can purchase 6 or more mozzarella sticks.
Definition of inequality
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, in addition to certain known data.
Solving an inequality consists of finding all the values of the unknown for which the inequality relation holds.
Inequality in this case
In this case, you know that:
- Jason has $20 to spend at Sonic.
- He wants a large blue raspberry slush which costs $8.
- He wants some mozzarella sticks which cost $2 each.
Being "x" the number of mozzarella sticks Jason can purchase, the inequality that expresses the previous relationship is
2m + 8 ≤20
Graphing the inequality gives the accompanying graph. It can be seen that the graph tells you that Jason can purchase 6 or more mozzarella sticks.
Learn more about inequality:
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