Identify the inequality that represents the situation.

Jason has $20 to spend at Sonic. He wants a large blue raspberry slush which costs $8. He also wants some mozzarella sticks which cost $2 each. How many mozzarella sticks can he purchase?

8m + 2 ≤ 208m + 2 ≤ 20

2m + 8 ≤202m + 8 ≤20

8m + 2 ≥ 208m + 2 ≥ 20

2m + 8 ≥ 20

Graph the solution to the inequality. (I couldn't get the graph because it wasn't a picture)

What is the correct interpretation to the solution?

Jason can purchase up to 6 mozzarella sticks.

Jason can purchase 6 or more mozzarella sticks.

Jason can purchase up to 14 mozzarella sticks.

Jason can purchase 14 or more mozzarella sticks.

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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