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'.

Front

What does the symbol '>' mean?

Back

The symbol '>' means 'greater than'.

Front

How do you solve the inequality 6(n + 2) < -72?

Back

First, distribute: 6n + 12 < -72. Then, subtract 12: 6n < -84. Finally, divide by 6: n < -14.

Front

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

Back

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

Front

How do you solve the inequality 3x - 2 < 13?

Back

Add 2 to both sides: 3x < 15. Then, divide by 3: x < 5.

Front

How do you solve the inequality 30 + n > 50?

Back

Subtract 30 from both sides: n > 20.

Front

How do you solve the inequality 5X - 7 > 8?

Back

Add 7 to both sides: 5X > 15. Then, divide by 5: X > 3.

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

What is a compound inequality?

Back

A compound inequality combines two inequalities, often using 'and' or 'or'.