Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, greater than or equal to, or less than or equal to the other.

Front

What does the symbol '>' mean in inequalities?

Back

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

Front

What does the symbol '<' mean in inequalities?

Back

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

Front

What does the symbol '≥' mean in inequalities?

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 inequalities?

Back

The symbol '≤' means 'less than or equal to'. For example, x ≤ 2 means x is less than or equal to 2.

Front

How do you represent 'no more than 20 dollars' in inequality form?

Back

You represent it as x ≤ 20.

Front

What is the solution to the inequality s + 10 ≤ 1?

Back

The solution is s ≤ -9.

Front

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

Back

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

Front

What does an open dot indicate when graphing inequalities?

Back

An open dot indicates that the number is not included in the solution, used for < and >.

Front

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

Back

Add 3 to both sides: 2x > 8. Then divide by 2: x > 4.