Question

Choose the statement that best describes a solution of a system of linear inequalities.(1 point)

A solution of a system of linear inequalities is an ordered pair that satisfies at least one of the inequalities in the system.

A solution of a system of linear inequalities is an ordered pair that satisfies the intersection of the border of each inequality.

A solution of a system of linear inequalities is an ordered pair that satisfies neither inequality in the system.

A solution of a system of linear inequalities is an ordered pair that satisfies each inequality in the system.

Answer 1

A solution of a system of linear inequalities is an ordered pair that satisfies at least one of the inequalities in the system.A solution of a system of linear inequalities is an ordered pair that satisfies the intersection of the border of each inequality.A solution of a system of linear inequalities is an ordered pair that satisfies neither inequality in the system.A solution of a system of linear inequalities is an ordered pair that satisfies each inequality in the system.

Answer 2

Answer: A solution of a system of linear inequalities is an ordered pair that satisfies each inequality in the system.

Explanation:

A system of linear inequalities can be written as:

y < a*x + b

y < c*x + d

or

y ≤ a*x + b

y ≤ c*x + d

In the first case, the borders are not included in the solutions, and in the second case, the borders are included.

Where the solutions will be points like (x, y), where these points must be solutions for both inequalities.

Then the only option that is correct for a general system of inequalities is:

A solution of a system of linear inequalities is an ordered pair that satisfies each inequality in the system.