Inequalities: Solutions and Graphing

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 in an inequality?

Back

The symbol '>' means 'greater than'. For example, 5 > 3 means 5 is greater than 3.

Front

What does the symbol '<' mean in an inequality?

Back

The symbol '<' means 'less than'. For example, 2 < 4 means 2 is less than 4.

Front

What does the symbol '≥' mean in an inequality?

Back

The symbol '≥' means 'greater than or equal to'. For example, x ≥ 5 means x is greater than or equal to 5.

Front

What does the symbol '≤' mean in an inequality?

Back

The symbol '≤' means 'less than or equal to'. For example, y ≤ 3 means y is less than or equal to 3.

Front

How do you graph the inequality p > 2?

Back

To graph p > 2, draw a number line, place an open circle on 2, and shade to the right to indicate all numbers greater than 2.

Front

How do you graph the inequality k < 3?

Back

To graph k < 3, draw a number line, place an open circle on 3, and shade to the left to indicate all numbers less than 3.

Front

Is -4 a solution for the inequality p ≥ -3?

Back

No, -4 is not a solution because -4 is less than -3.

Front

Is 0 a solution for the inequality b < -3?

Back

No, 0 is not a solution because 0 is greater than -3.

Front

Is 5 a solution for the inequality k > -6?

Back

Yes, 5 is a solution because 5 is greater than -6.