Solving one step inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using inequality signs such as <, >, ≤, or ≥.

Front

What does the symbol '<' mean?

Back

The symbol '<' means 'less than'.

Front

What does the symbol '>' mean?

Back

The symbol '>' means 'greater than'.

Front

How do you solve the inequality 8x < 48?

Back

Divide both sides by 8: x < 6.

Front

How do you solve the inequality -8x < 48?

Back

Divide both sides by -8 and flip the inequality sign: x > -6.

Front

What happens to the inequality sign when you multiply or divide by a negative number?

Back

The inequality sign flips.

Front

What is the solution set of an inequality?

Back

The solution set of an inequality is the set of all values that make the inequality true.

Front

Can an inequality have multiple solutions?

Back

Yes, an inequality can have multiple solutions.

Front

How do you solve the inequality x + 5 > 7?

Back

Subtract 5 from both sides: x > 2.

Front

What does it mean if an inequality has no solution?

Back

It means there are no values that satisfy the inequality.