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?

Back

The symbol '>' means 'greater than'. For example, x > 7 means x is greater than 7.

Front

What does the symbol '<' mean?

Back

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

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'. For example, x ≥ 3 means x is greater than or equal to 3.

Front

What does the symbol '≤' mean?

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 r + 13 < 9?

Back

Subtract 13 from both sides: r < 9 - 13, which simplifies to r < -4.

Front

How do you solve the inequality n - 2 ≤ 4?

Back

Add 2 to both sides: n ≤ 4 + 2, which simplifies to n ≤ 6.

Front

What is the solution to the inequality 7 is less than a number?

Back

The solution is x > 7.

Front

What does 'more than' indicate in terms of inequalities?

Back

'More than' indicates the use of the '>' symbol.

Front

What is the solution to the inequality 5 ≤ x + 3?

Back

Subtract 3 from both sides: 5 - 3 ≤ x, which simplifies to 2 ≤ x or x ≥ 2.