Question

Question #53f01

Answer 1

Dividing by a negative number is the same as dividing by a positive number and then multiplying by `−1`. Dividing an inequality by a positive number retains the same inequality. But, multiplying by `−1` is the same as switching the signs of the numbers on both sides of the inequality, which reverses the inequality:

`a < b <=> -a > -b`

For example we have that `2<3` if we multiply with `-1` and dont do anything we get `-2<-3` which is false.

Answer 2

Richard - try a simple example to discover the answer to your question.

Explanation:

Here is a simple inequality:

`6 > 4`

Next, multiply both sides by -1

`-6 > -4` ? The answer is FALSE! So, we flip the inequality sign:

`-6 < -4`

Hope that helped