Question

what is the purpose of setting up an inequality in a real - world scenario?
a. to model limits or boundaries
b. to represent equal values
c. to find exact solutions
d. to balance equations

Explanation:

Inequalities are used to show relationships where values are not equal. In real - world scenarios, they are often used to model situations with limits or boundaries. For example, if a container can hold at most 10 liters of water, we can model this as \(x\leq10\) (where \(x\) is the volume of water in the container).

• Option b is incorrect because equal values are represented by equations (\(=\)).
• Option c is incorrect as inequalities give a range of solutions rather than exact ones.
• Option d is incorrect as balancing equations is related to equations (\(=\)) not inequalities (\(<,>,\leq,\geq\)).

Answer:

A. To model limits or boundaries