Graphing Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using symbols such as <, >, ≤, or ≥.

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'.

Tags

CCSS.6.EE.B.8

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'.

Tags

CCSS.6.EE.B.8

Front

How do you graph the inequality y > 2?

Back

To graph y > 2, draw a dashed horizontal line at y = 2 and shade the area above the line.

Tags

CCSS.HSA.REI.D.12

Front

What is the solution set of an inequality?

Back

The solution set of an inequality is the set of all values that make the inequality true.

Front

How do you determine if a point is in the solution set of an inequality?

Back

To determine if a point is in the solution set, substitute the point's coordinates into the inequality and check if the statement is true.

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

How do you graph the inequality 3x + 4y ≥ 12?

Back

First, graph the line 3x + 4y = 12 as a solid line, then shade above the line to represent the solution set.

Tags

CCSS.HSA.REI.D.12

Front

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

Back

If a point lies on the boundary line of an inequality, it is included in the solution set if the line is solid, and not included if the line is dashed.

Tags

CCSS.HSA.REI.D.12

Front

What is the first step in graphing an inequality?

Back

The first step is to rewrite the inequality in slope-intercept form (y = mx + b) if necessary.

Tags

CCSS.HSA.REI.D.12