Solving Inequalities w Addition & Subtraction

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using symbols like <, >, ≤, or ≥.

Front

What does the symbol '>' mean in an inequality?

Back

The symbol '>' means 'greater than'. For example, x > 5 means x is greater than 5.

Front

What does the symbol '<' mean in an inequality?

Back

The symbol '<' means 'less than'. For example, y < 10 means y is less than 10.

Front

How do you solve the inequality x - 32 > 49?

Back

Add 32 to both sides: x > 49 + 32, so x > 81.

Front

How do you solve the inequality y - 4.6 < 12?

Back

Add 4.6 to both sides: y < 12 + 4.6, so y < 16.6.

Front

Is x = 12 a solution to the inequality x > 5?

Back

TRUE, because 12 is greater than 5.

Front

What does 'fewer than' mean in terms of inequalities?

Back

'Fewer than' means to use the symbol '<'. For example, 'fewer than 10' means x < 10.

Front

How do you solve the inequality 4 + b < 30?

Back

Subtract 4 from both sides: b < 30 - 4, so b < 26.

Front

What is the solution set for the inequality x + 5 > 10?

Back

Subtract 5 from both sides: x > 10 - 5, so x > 5.

Front

What does the symbol '≤' mean in an inequality?

Back

The symbol '≤' means 'less than or equal to'. For example, x ≤ 3 means x is less than or equal to 3.