Solving Systems of Linear Inequalities

Front

What is a system of linear inequalities?

Back

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

Front

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

Back

It means 'greater than or equal to'.

Front

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

Back

It means 'less than or equal to'.

Front

When graphing an inequality, what type of line is used for '>' or '<'?

Back

A dotted line.

Front

When graphing an inequality, what type of line is used for '≥' or '≤'?

Back

A solid line.

Front

How do you represent the inequality y < 2x + 3 on a graph?

Back

Shade below the line y = 2x + 3.

Front

What is the solution set of a system of inequalities?

Back

The region where the shaded areas of all inequalities overlap.

Front

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

Back

It means the point satisfies the equation of the line, but whether it is included depends on the inequality symbol.

Front

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

Back

Substitute the point into each inequality; if it satisfies all, it is a solution.

Front

What is the graphical representation of the inequality y > -x + 1?

Back

Shade above the line y = -x + 1.