Solving 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 in an inequality?

Back

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

Front

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

Back

The symbol '<' means 'less than'. For example, x < 5 means x is less than 5.

Front

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

Back

The symbol '≥' means 'greater than or equal to'. For example, x ≥ 2 means x is greater than or equal to 2.

Front

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

Back

The symbol '≤' means 'less than or equal to'. For example, x ≤ 4 means x is less than or equal to 4.

Front

How do you solve the inequality 4x + 1 > 13?

Back

Subtract 1 from both sides: 4x > 12. Then divide by 4: x > 3.

Front

What is the solution to the inequality 30x + 600 ≥ 1500?

Back

Subtract 600 from both sides: 30x ≥ 900. Then divide by 30: x ≥ 30.

Front

If a taxi ride costs $1.75 plus $0.75 for each additional mile, how do you express the total cost as an inequality if you have $20?

Back

The inequality is 1.75 + 0.75m ≤ 20, where m is the number of additional miles.

Front

What is the first step in solving the inequality 11 ≤ a?

Back

The first step is to understand that 'a' must be greater than or equal to 11.

Front

How can you represent the statement 'You can park for at most 4 hours' as an inequality?

Back

The inequality is x ≤ 4, where x is the number of hours parked.