Final answer:
The given statement is false. When multiplying or dividing by a negative number, you do need to switch the inequality symbol, but only when you have an inequality equation, not when you have a multiplication or division equation. Option B
Step-by-step explanation:
When multiplying or dividing by a negative number, you do need to switch the inequality symbol, but only when you have an inequality equation, not when you have a multiplication or division equation. Let's look at two examples to understand this:
Example 1:
6 > -3
If we divide both sides of the inequality by -1, we get -6 < 3. The inequality symbol has been switched because we divided by a negative number.
Example 2:
6 x -3 = -18
In this multiplication equation, we do not need to switch the inequality symbol because we are not dealing with an inequality. We just multiply the numbers and get -18 as the answer.
So the correct answer is B. False. We only switch the inequality symbol when we are dealing with an inequality equation.