Why do we flip the Inequality Sign when multiplying or dividing by a Negative number? | 7 EE B 4

The video tutorial explains how to solve inequalities, focusing on the importance of flipping the inequality sign when multiplying or dividing by a negative number. It demonstrates solving an inequality using both addition and multiplication methods, highlighting the correct approach through examples. The tutorial concludes with practice problems to reinforce the concept.

What is the first step in solving the inequality -X + 10 < 4?

• Divide both sides by -1

• Multiply both sides by -1

• Subtract 10 from both sides

• Add 10 to both sides

After using addition to solve -X + 10 < 4, what is the resulting inequality?

• X ≤ 6

• X < 6

• X > 6

• X = 6

What mistake was made when solving the inequality using multiplication?

• The inequality was not simplified

• The variable was not isolated

• The wrong number was multiplied

• The inequality sign was not flipped

What rule must be remembered when multiplying or dividing both sides of an inequality by a negative number?

• Keep the inequality sign the same

• Flip the inequality sign

• Subtract the same number from both sides

• Add the same number to both sides

In the practice problem -5N ≤ 15, what is the solution for N?

• N ≤ -3

• N < -3

• N ≥ -3

• N > -3

What is the solution for X in the inequality X / -3 > -4?

• X ≥ 12

• X = 12

• X < 12

• X > 12

Why is it important to check your solution in an inequality problem?

• To simplify the inequality further

• To find the exact value of the variable

• To verify the solution satisfies the original inequality

• To ensure the solution is a whole number