Question

If a graph of a system of linear inequalities cannot be contained in any circle, then it is said to be ___ .

Short answer

On completing the statement, we get,

"If a graph of a system of linear inequalities cannot be contained in any circle, then it is said to beunbounded."

Step-by-step solution

Step 1. Given information.

Consider the given statement,

"If a graph of a system of linear inequalities cannot be contained in any circle, then it is said to be ___."

On completing the statement,

"If a graph of a system of linear inequalities cannot be contained in any circle, then it is said to be unbounded."

Step 2. Explanation for completing the statement.

Consider the given question,

A graph is unbounded if the graph of a system of linear inequalities cannot be contained in any circle.