Question

what does the term \boundary\ refer to in an inequality?
a. the equation used to solve the problem
b. the fixed value
c. the limit or maximum/minimum value
d. the unknown quantity

Explanation:

In an inequality, the boundary represents the limit or maximum/minimum value. For example, in the inequality \(x\leqslant5\), the boundary is \(x = 5\) which acts as the upper - limit. Option a is incorrect as the equation used to solve (like \(x+2=3\)) is not a boundary in the context of inequalities. Option b, a fixed value, is too vague. Option d, the unknown quantity, is what we solve for in an equation or inequality (e.g., \(x\) in \(x + 3>7\)) and not the boundary.

Answer:

c. The limit or maximum/minimum value