Solving 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?

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'. For example, x > 3 means x is greater than 3.

Front

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

Back

Divide both sides by -8, remembering to flip the inequality sign: x > -6.

Front

What is the solution to the inequality 4x + 1 > 13?

Back

Subtract 1 from both sides to get 4x > 12, then divide by 4: x > 3.

Front

How do you solve the inequality 7b - 3 < 11?

Back

Add 3 to both sides to get 7b < 14, then divide by 7: b < 2.

Front

What is the solution to the inequality 7x < 49?

Back

Divide both sides by 7: x < 7.

Front

How do you solve the inequality -9x + 7 ≥ 25?

Back

Subtract 7 from both sides to get -9x ≥ 18, then divide by -9 (flip the sign): x ≤ -2.

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'. For example, x ≤ 4 means x is less than or equal to 4.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'. For example, x ≥ 2 means x is greater than or equal to 2.