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 neither inequality in the system.

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

Answer 1

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

Step-by-step explanation:

Linear inequalities are mathematical expressions where two expressions are compared using inequality symbols (<, >, ≤, ≥). Solutions to linear inequalities form a range of values. Graphically, they represent shaded regions on a number line or in a coordinate plane. A solution of a system of linear inequalities is an ordered pair that satisfies each inequality in the system.

For example, if we have a system of linear inequalities:

3x + 2y <= 10

x - y >= 2

A solution could be the ordered pair (2, 3) because when we substitute x = 2 and y = 3 into both inequalities, both inequalities will be satisfied.