Systems of Inequalities Review

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 an inequality in two variables?

Back

To graph an inequality, first graph the corresponding equation as a line. Use a dashed line for < or > and a solid line for ≤ or ≥. Then shade the region that satisfies the inequality.

Tags

CCSS.HSA.REI.D.12

Front

What does it mean for a point to be a solution to a system of inequalities?

Back

A point is a solution if it satisfies all inequalities in the system, meaning it lies in the shaded region of the graph.

Tags

CCSS.HSA.REI.D.12

Front

Back

Front

What is the slope-intercept form of a linear equation?

Back

Tags

CCSS.8.F.A.3

CCSS.8.EE.B.6

Front

How do you determine if a point is a solution to an inequality?

Back

Substitute the x and y values of the point into the inequality. If the inequality holds true, then the point is a solution.

Front

What is the difference between a solid line and a dashed line in 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

Front

Back

Tags

CCSS.HSA.REI.D.12

Front

Back

Front

Back