Linear Inequalities in two variables

Front

What is a linear inequality in two variables?

Back

A linear inequality in two variables is an inequality that can be written in the form ax + by < c, ax + by > c, ax + by ≤ c, or ax + by ≥ c, where a, b, and c are constants.

Front

What does the symbol '<' represent in a linear inequality?

Back

The symbol '<' indicates that the values of the expression on the left are less than the value on the right.

Front

What does the symbol '>' represent in a linear inequality?

Back

The symbol '>' indicates that the values of the expression on the left are greater than the value on the right.

Tags

CCSS.6.EE.B.8

Front

What type of line is used to represent the inequality y < 2?

Back

A dashed horizontal line is used to represent the inequality y < 2.

Tags

CCSS.HSA.REI.D.12

Front

What type of line is used to represent the inequality y ≤ 2?

Back

A solid horizontal line is used to represent the inequality y ≤ 2.

Tags

CCSS.HSA.REI.D.12

Front

How do you determine if a point is part of the solution set for a linear inequality?

Back

To determine if a point is part of the solution set, substitute the x and y values of the point into the inequality. If the inequality holds true, the point is part of the solution set.

Front

What does shading above a line indicate in a graph of a linear inequality?

Back

Shading above a line indicates that the solutions to the inequality are greater than the line (y > mx + b).

Tags

CCSS.HSA.REI.D.12

Front

What does shading below a line indicate in a graph of a linear inequality?

Back

Shading below a line indicates that the solutions to the inequality are less than the line (y < mx + b).

Tags

CCSS.HSA.REI.D.12

Front

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

Back

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

Tags

CCSS.HSA.REI.D.12

Front

How do you graph the inequality y > -1/2 x + 5?

Back

To graph y > -1/2 x + 5, draw a dashed line for y = -1/2 x + 5 and shade above the line.

Tags

CCSS.HSA.REI.D.12