Solving 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'.

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 x + 5 > 10?

Back

Subtract 5 from both sides: x > 5.

Front

What is the solution to the inequality 3x < 12?

Back

Divide both sides by 3: x < 4.

Front

When graphing the inequality x < 2, what type of dot is used?

Back

An open dot is used because the inequality does not include 2.

Front

When graphing the inequality x ≥ 3, what type of dot is used?

Back

A closed dot is used because the inequality includes 3.

Front

What is the solution to the inequality -2w > -6?

Back

Divide both sides by -2 (remember to flip the inequality): w < 3.