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 'greater than'.

Front

How do you graph the inequality y < 3?

Back

Graph a horizontal line at y = 3 and shade below the line.

Front

What does a solid line indicate in graphing inequalities?

Back

A solid line indicates that the points on the line are included in the solution set (used for ≥ or ≤).

Front

What does a dashed line indicate in graphing inequalities?

Back

A dashed line indicates that the points on the line are not included in the solution set (used for > or <).

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

Which point is part of the solution set for the inequality y > -2x - 3?

Back

To determine if a point is part of the solution set, substitute the point into the inequality and check if it holds true.

Front

What is the solution set of the inequality -3x ≥ 12?

Back

The solution set is x ≤ -4.

Front

How do you solve the inequality 2x - 5 < 3?

Back

Add 5 to both sides to get 2x < 8, then divide by 2 to find x < 4.