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'.

Front

What does the symbol '≤' mean?

Back

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

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.

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.

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.

Front

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

Back

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

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.

Front

What is the graph of y ≥ -3?

Back

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

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.