Solving Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using symbols like <, >, ≤, or ≥.

Front

What does the symbol '>' mean?

Back

The symbol '>' means 'greater than'.

Front

What does the symbol '<' mean?

Back

The symbol '<' means 'less than'.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'.

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'.

Front

How do you solve the inequality -3x ≥ 12?

Back

Divide both sides by -3 and flip the inequality sign: x ≤ -4.

Front

What is the solution to the inequality 2x < 10?

Back

x < 5.

Front

When do you flip the inequality sign?

Back

You flip the inequality sign when you multiply or divide both sides by a negative number.

Front

What is the solution to the inequality -11w > -11?

Back

w < 1.

Front

What does 'at least' mean in terms of inequalities?

Back

'At least' means the value is greater than or equal to a certain number, represented by ≥.