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

Front

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

Back

The symbol '≥' means 'greater than or equal to'. For example, x ≥ 7 means x is greater than or equal to 7.

Front

How do you solve the inequality 2x + 5 < 10?

Back

Subtract 5 from both sides: 2x < 5. Then divide by 2: x < 2.5.

Front

What is the solution to the inequality -3x + 5 < 20?

Back

Subtract 5 from both sides: -3x < 15. Then divide by -3 (remember to flip the inequality): x > -5.

Front

How do you represent 'the sum of twice a number and five is less than ten' as an inequality?

Back

The inequality is 2x + 5 < 10.

Front

If a person must be at least 52 inches tall to ride a roller coaster, how is this represented in an inequality?

Back

This is represented as x ≥ 52.

Front

In the context of a salary problem, how do you express 'You want to earn a minimum of $1000' if your weekly salary is $200 and you earn $20 for each laptop sold?

Back

The inequality is c ≥ 40, where c is the number of laptops sold.