Solving Inequalities with Multiplication and Division

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'.

Front

What does the symbol '>' mean?

Back

The symbol '>' means 'greater than'.

Front

How do you solve an inequality involving multiplication?

Back

To solve an inequality involving multiplication, divide both sides by the same positive number. If you multiply or divide by a negative number, reverse the inequality sign.

Front

Solve the inequality: 8x < 48

Back

x < 6

Front

Solve the inequality: -5m < 10

Back

m > -2

Front

What happens to the inequality sign when you divide by a negative number?

Back

When you divide both sides of an inequality by a negative number, you must reverse the inequality sign.

Front

Solve the inequality: -25x < 400

Back

x > -16

Front

Solve the inequality: -6a > -78

Back

a < 13

Front

Solve the inequality: 13a > -26

Back

a > -2