Inequalities Review

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, x > 5 means x is greater than 5.

Front

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

Back

The symbol '<' means 'less than'. For example, x < 3 means x is less than 3.

Front

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

Back

The symbol '≥' means 'greater than or equal to'. For example, x ≥ 4 means x is greater than or equal to 4.

Front

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

Back

The symbol '≤' means 'less than or equal to'. For example, x ≤ 10 means x is less than or equal to 10.

Front

How do you solve the inequality 2(x - 4) > 10?

Back

First, distribute: 2x - 8 > 10. Then add 8 to both sides: 2x > 18. Finally, divide by 2: x > 9.

Front

What is a solution to a system of inequalities?

Back

A solution to a system of inequalities is a set of values that satisfies all inequalities in the system.

Front

How can you represent the statement 'a person must be at least 54 inches tall' as an inequality?

Back

S ≥ 54 inches, where S is the height of the person.

Front

How can you represent the statement 'a light bulb must not exceed 60 watts' as an inequality?

Back

L ≤ 60, where L is the wattage of the light bulb.

Front

What is the solution set for the inequality x > -4?

Back

The solution set includes all real numbers greater than -4.