Solving Inequalities Using Multiplication and Division
Grade 7 students in Big Ideas Math Advanced 2 (Chapter 11: Inequalities) practice solving inequalities using multiplication and division, including the critical rule that multiplying or dividing by a negative number reverses the inequality symbol direction.
Key Concepts
To solve an inequality using multiplication or division: 1. We can multiply or divide both sides by the same positive number without changing the inequality sign. 2. If we multiply or divide both sides by a negative number, we must reverse the direction of the inequality sign.
Common Questions
How do you solve inequalities with multiplication and division in Grade 7?
Multiply or divide both sides by the same number. If the number is positive, the inequality sign remains the same. If the number is negative, flip the inequality sign.
How do you solve 3x < 12?
Divide both sides by 3 (positive): x < 4. The sign stays the same because you divided by a positive number.
How do you solve -2x >= 10?
Divide both sides by -2 (negative, so flip the sign): x <= -5.
What chapter in Big Ideas Math Advanced 2 covers solving inequalities with multiplication and division?
Chapter 11: Inequalities in Big Ideas Math Advanced 2 (Grade 7) covers solving inequalities using multiplication and division.
What happens if you forget to flip the inequality sign?
You will get the wrong solution set. Always remember: multiplying or dividing by a negative number reverses the direction of the inequality symbol.