Is (x, y) a solution to the system of linear inequalities?

Check candidate points against every inequality in a system.

Lesson 1

Concept

A point solves a system of inequalities only when it satisfies all inequalities simultaneously.

Determine whether (2,1) satisfies y ≥ x - 1 and y < 4.

A point is in the solution set when it satisfies:

At least one inequality

Only the boundary line

All inequalities

None

If one inequality fails, the point is:

Still valid

Invalid for system

Boundary only

Equivalent

These steps are out of order — can you fix them?

1.Substitute into inequality 1

2.Substitute into inequality 2

3.Evaluate truth values

4.Conclude in/out

Why can a point satisfy one inequality but not the system?