Inequalities with review

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 'greater than'. For example, 5 > 3 means 5 is greater than 3.

Front

What does the symbol '<' mean?

Back

The symbol '<' means 'less than'. For example, 2 < 4 means 2 is less than 4.

Front

How do you solve the inequality -3x - 4 < 5?

Back

Add 4 to both sides: -3x < 9. Then divide by -3 (remember to flip the inequality): x > -3.

Front

What is the solution to the equation -6x = 30?

Back

Divide both sides by -6: x = -5.

Front

How do you solve the equation 5(2x - 6) = 20?

Back

First, divide both sides by 5: 2x - 6 = 4. Then add 6 to both sides: 2x = 10. Finally, divide by 2: x = 5.

Front

What is the solution to the equation 9x - 10 = -19?

Back

Add 10 to both sides: 9x = -9. Then divide by 9: x = -1.

Front

What is the difference between an equation and an inequality?

Back

An equation states that two expressions are equal, while an inequality shows that one expression is greater or less than another.

Front

What does it mean to 'flip' the inequality sign?

Back

You flip the inequality sign when you multiply or divide both sides of an inequality by a negative number.

Front

What is the solution set of the inequality x < 3?

Back

The solution set includes all numbers less than 3.