Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using inequality 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 ≤ 7 means x is less than or equal to 7.

Front

How do you solve the inequality 8m - 9 > 71?

Back

Add 9 to both sides: 8m > 80. Then divide by 8: m > 10.

Front

Write an inequality for: You can spend no more than 25 dollars.

Back

x ≤ 25.

Front

What is the first step to solve the inequality 50 + 30x ≥ 350?

Back

Subtract 50 from both sides: 30x ≥ 300.

Front

What is the solution to the inequality x < 8?

Back

Any number less than 8, such as 7.9 or 0.8.

Front

When graphing an inequality, what does a closed dot represent?

Back

A closed dot represents that the number is included in the solution, used for ≤ and ≥.