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.

Tags

CCSS.HSA.REI.D.12

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.

Tags

CCSS.HSA.REI.D.12

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.

Tags

CCSS.6.EE.B.8

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.

Tags

CCSS.6.EE.B.8

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.

Tags

CCSS.HSA.REI.D.12

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.

Tags

CCSS.HSA.REI.D.12

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.

Tags

CCSS.HSA.REI.D.12

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.

Tags

CCSS.HSA.REI.D.12

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 <).

Tags

CCSS.HSA.REI.D.12