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 'greater than or equal to'.

Tags

CCSS.6.EE.B.8

Front

What does the symbol '≤' mean?

Back

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

Tags

CCSS.6.EE.B.8

Front

When graphing the inequality y > x + 1, what type of line is used?

Back

A dashed line is used because the inequality does not include equality.

Tags

CCSS.HSA.REI.D.12

Front

When graphing the inequality y ≥ x + 1, what type of line is used?

Back

A solid line is used because the inequality includes equality.

Tags

CCSS.HSA.REI.D.12

Front

How do you graph the inequality -3x ≥ 12?

Back

First, solve for x: x ≤ -4. Then graph a solid line at x = -4 and shade to the left.

Tags

CCSS.6.EE.B.8

Front

What is the solution set for the inequality y < -3?

Back

The solution set includes all points below the line y = -3.

Tags

CCSS.HSA.REI.D.12

Front

How do you determine if you need to flip the inequality sign?

Back

You flip the inequality sign when you multiply or divide both sides of the inequality by a negative number.

Tags

CCSS.6.EE.B.8

Front

What is the graph of y ≥ -3?

Back

A solid horizontal line at y = -3, with shading above the line.

Tags

CCSS.HSA.REI.D.12

Front

What does the inequality y > 2x - 5 represent graphically?

Back

It represents a dashed line for y = 2x - 5, with shading above the line.

Tags

CCSS.HSA.REI.D.12