Solve Inequalities (Addition and 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?

Back

The symbol '<' means 'less than'. For example, x < 6 means x is less than 6.

Front

What does the symbol '>' mean?

Back

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

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'. For example, x ≤ 5 means x is less than or equal to 5.

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.

Front

How do you solve the inequality x - 6 > 2?

Back

Add 6 to both sides: x > 8.

Front

What is the solution set for the inequality x + 14 ≥ 50?

Back

Subtract 14 from both sides: x ≥ 36.

Front

How do you graph the inequality x < 6 on a number line?

Back

Draw an open circle at 6 and shade to the left.

Front

What does it mean if a value satisfies an inequality?

Back

It means that when you substitute the value into the inequality, the statement is true.

Front

Is x = 5 a solution for the inequality x + 14 ≥ 50?

Back

Yes, because 5 + 14 = 19, which is not greater than or equal to 50.