System of Inequalities

Front

What is a system of inequalities?

Back

A system of inequalities is a set of two or more inequalities with the same variables. The solution is the region where the graphs of the inequalities overlap.

Front

How do you graph the inequality y < x - 2?

Back

To graph y < x - 2, first graph the line y = x - 2 as a dashed line (indicating that points on the line are not included). Then shade below the line.

Front

What does the symbol '>' indicate in an inequality?

Back

The symbol '>' indicates that the value on the left is greater than the value on the right.

Front

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

Back

The symbol '≥' indicates that the value on the left is greater than or equal to the value on the right.

Front

How do you determine which side to shade for the inequality y > -x + 2?

Back

For y > -x + 2, graph the line y = -x + 2 as a dashed line and shade above the line.

Front

What is the solution to the system of inequalities y ≤ x + 4 and y ≥ 2x - 6?

Back

The solution is the region where the graphs of the two inequalities overlap.

Front

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

Back

Substitute the x and y values of the point into each inequality. If the point satisfies all inequalities, it is a solution.

Front

What does it mean to shade below a line in a graph?

Back

Shading below a line indicates that all points below that line are included in the solution set of the inequality.

Front

What does it mean to shade above a line in a graph?

Back

Shading above a line indicates that all points above that line are included in the solution set of the inequality.

Front

What is the difference between a solid line and a dashed line when graphing inequalities?

Back

A solid line indicates that points on the line are included in the solution (≥ or ≤), while a dashed line indicates they are not included (> or <).