Systems of Inequalities

Front

What is a system of inequalities?

Back

A set of two or more inequalities with the same variables.

Front

How do you determine where to shade for the inequality y < 2?

Back

Shade below the line y = 2.

Front

What does the inequality y ≥ -x - 1 represent graphically?

Back

A region above and including the line y = -x - 1.

Front

What is the solution to the system of inequalities y < 3 and y > -2?

Back

The region between the lines y = 3 and y = -2, not including the lines.

Front

How do you graph the inequality y > 2x + 1?

Back

Draw a dashed line for y = 2x + 1 and shade above the line.

Front

What does the symbol '≥' mean in an inequality?

Back

It means 'greater than or equal to'.

Front

Which point is a solution to the system y < -x + 2 and y ≥ 1?

Back

(0, 1) is a solution.

Front

What is the first step in solving a system of inequalities by graphing?

Back

Graph each inequality on the same coordinate plane.

Front

What does it mean if a point lies on the boundary line of an inequality?

Back

It means the point is a solution if the inequality includes equality (≥ or ≤).

Front

How do you identify if a point is a solution to a system of inequalities?

Back

Substitute the point into each inequality and check if all are satisfied.