Understanding Inequalities and Operations

The video tutorial covers writing and solving one-step inequalities, focusing on the effects of addition, subtraction, multiplication, and division on inequalities. It explains how to graph inequalities and check solutions, and provides practical examples and real-world applications to reinforce understanding.

What happens to an equation when you perform the same operation on both sides?

• The equation changes its form.

• The equation becomes undefined.

• The equation remains true.

• The equation becomes false.

Which of the following is NOT an inequality symbol?

• =

• <

• >

• ≥

What is the result of adding the same number to both sides of an inequality?

• The inequality remains true.

• The inequality changes its form.

• The inequality becomes false.

• The inequality becomes undefined.

How can subtraction be expressed in terms of addition?

• As adding a positive number.

• As adding its opposite.

• As multiplying by zero.

• As dividing by one.

What happens when you divide both sides of an inequality by a positive number?

• The inequality becomes undefined.

• The inequality changes its form.

• The inequality remains true.

• The inequality becomes false.

What must you do when dividing both sides of an inequality by a negative number?

• Multiply both sides by zero.

• Add a constant to both sides.

• Reverse the inequality symbol.

• Keep the inequality symbol the same.

What is the effect of multiplying both sides of an inequality by a negative number?

• The inequality becomes undefined.

• The inequality symbol must be reversed.

• The inequality remains true.

• The inequality becomes false.

Which numbers can be used to solve inequalities involving addition and subtraction?

• Only whole numbers.

• Only integers.

• Rational numbers, including fractions and decimals.

• Only positive numbers.

What does an open dot on a graph of an inequality indicate?

• The number is included.

• The number is not included.

• The inequality is false.

• The inequality is true.

What must you do when solving inequalities with multiplication and division by a negative number?

• Add a constant to both sides.

• Multiply both sides by zero.

• Reverse the inequality symbol.

• Keep the inequality symbol the same.