Effects of Operations on Inequalities

This lesson covers the properties of inequalities, focusing on preserving and reversing inequality symbols. Through class activities involving dice, students explore how adding, subtracting, multiplying, and dividing affect inequalities. The lesson emphasizes that adding or subtracting the same number on both sides preserves the inequality, while multiplying or dividing by a negative number reverses it. Exercises reinforce these concepts, and a summary recaps the key points.

What happens to the inequality symbol when you add the same number to both sides of an inequality?

• The inequality becomes invalid.

• The inequality becomes an equation.

• The symbol is preserved.

• The symbol reverses.

What is the effect of subtracting the same number from both sides of an inequality?

• The inequality becomes invalid.

• The symbol reverses.

• The symbol is preserved.

• The inequality becomes an equation.

If you multiply both sides of an inequality by a negative number, what happens to the inequality symbol?

• The inequality becomes an equation.

• The symbol remains the same.

• The symbol reverses.

• The inequality becomes invalid.

When dividing both sides of an inequality by a positive number, what is the effect on the inequality symbol?

• The symbol reverses.

• The symbol is preserved.

• The inequality becomes an equation.

• The inequality becomes invalid.

What is the result of multiplying both sides of an inequality by a fraction greater than zero?

• The inequality symbol is preserved.

• The inequality becomes invalid.

• The inequality becomes an equation.

• The inequality symbol reverses.

How does dividing both sides of an inequality by a negative number affect the inequality symbol?

• The symbol remains the same.

• The inequality becomes invalid.

• The inequality becomes an equation.

• The symbol reverses.

What happens to the inequality symbol when both sides are multiplied by zero?

• The inequality becomes invalid.

• The inequality becomes an equation.

• The symbol reverses.

• The symbol is preserved.

What is the result of multiplying both sides of an inequality by a negative fraction?

• The inequality becomes invalid.

• The inequality becomes an equation.

• The inequality symbol is preserved.

• The inequality symbol reverses.

In the context of inequalities, what does it mean to 'preserve' the inequality symbol?

• The inequality symbol reverses.

• The inequality symbol remains unchanged.

• The inequality becomes invalid.

• The inequality becomes an equation.

What is the key takeaway from the lesson on inequalities?

• Inequalities are always preserved.

• Inequalities can be reversed by certain operations.

• Inequalities are the same as equations.

• Inequalities are invalid in mathematics.