Understanding Inequalities and Operations

The video tutorial explains how to perform various operations on inequalities, starting with the inequality -3 < 4. It covers adding, subtracting, multiplying, and dividing by negative and positive numbers, emphasizing the need to reverse the inequality when multiplying or dividing by a negative. The tutorial also demonstrates adding fractions with common denominators to maintain the truth of inequalities.

What is the result of adding negative five to both sides of the inequality -3 < 4?

• -3 > -1

• -3 < -1

• -8 > -1

• -8 < -1

When multiplying both sides of an inequality by a negative number, what must you remember to do?

• Subtract the same number from both sides

• Add the same number to both sides

• Reverse the inequality

• Keep the inequality the same

What is the result of subtracting negative five from both sides of the inequality -3 < 4?

• 2 < 9

• 2 > 9

• -2 > 9

• -2 < 9

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

• The inequality is multiplied by two

• The inequality is reversed

• The inequality is divided by two

• The inequality remains the same

What is the result of subtracting four from both sides of the inequality 15 > -20?

• 11 > -24

• 19 < -16

• 11 < -24

• 19 > -16

When multiplying both sides of an inequality by a positive number, what should you do?

• Reverse the inequality

• Add the same number to both sides

• Keep the inequality the same

• Subtract the same number from both sides

What is the result of dividing both sides of the inequality 2 < 9 by four?

• 2 < 9

• 2 > 9

• 1/2 < 9/4

• 1/2 > 9/4

What is the result of adding four to both sides of the inequality 3/5 > -4/5?

• 23/5 > 16/5

• 3/5 < 4/5

• 23/5 < 16/5

• 3/5 > 4/5

What is the common denominator used when adding fractions in the inequality 3/5 + 4 > -4/5 + 4?

• 5

• 9

• 1

• 4

What is the simplified form of 2/4 in the inequality 1/2 < 9/4?

• 1/4

• 2/4

• 1/2

• 3/4