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 in inequalities?

Back

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

Front

What does the symbol '<' mean in inequalities?

Back

The symbol '<' means 'less than'. For example, y < 5 means y is less than 5.

Front

What does the symbol '≥' mean in inequalities?

Back

The symbol '≥' means 'greater than or equal to'. For example, n ≥ 10 means n is greater than or equal to 10.

Front

What does the symbol '≤' mean in inequalities?

Back

The symbol '≤' means 'less than or equal to'. For example, m ≤ 20 means m is less than or equal to 20.

Front

How do you solve the inequality 4x + 1 > 13?

Back

Subtract 1 from both sides: 4x > 12. Then divide by 4: x > 3.

Front

How do you solve the inequality -4 + y < -8?

Back

Add 4 to both sides: y < -4.

Front

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

Back

Subtract 5 from both sides: x > 2.

Front

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

Back

Subtract 30 from both sides: n ≥ 20.

Front

What is the inequality for a maximum weight of 50 lbs?

Back

p ≤ 50, meaning the weight p can be 50 lbs or less.