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

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.

Front

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

Back

Divide both sides by -8 and reverse the inequality sign: x > -6.

Front

How do you solve the inequality 4h < 8?

Back

Divide both sides by 4: h < 2.

Front

How do you solve the inequality x - 4 > 5?

Back

Add 4 to both sides: x > 9.

Front

How do you solve the inequality x + 5 ≤ 13?

Back

Subtract 5 from both sides: x ≤ 8.

Front

What does the solution x ≥ 3 mean in terms of a number line?

Back

It means that the graph includes all numbers greater than or equal to 3, often represented with a closed dot at 3.