Question

6. Select all the inequalities that have the same solutions as -4x < 20.

Answer 1

Answer:

F and B (as far as I can see).

Step-by-step explanation:

First, let's simplify the equation. You can easily do this by dividing by -4.

                                                  -4x < 20

                                                   /-4    /-4

                                                      x > -5

REMEMBER- Whenever dividing or multiplying a negative number with inequalities, the sign flips!!

On A, we can see that it has a negative symbol, but if we were to divide that, the sign would flip, making -5 greater than x. That's not what we want.

On B, the 20 is negative instead of the 4. Does this change anything?

                                                   4x > -20

                                                   /4    /4

                                                      x > -5

Nope! It still simplifies to what we had at the beginning so it works!

C and D are slightly confusing me because, well, I don't really see how it's relevant to anything so... It doesn't even have a inequality symbol so I don't know lol.

E is wrong because we need the 5 to be positive.

F is obviously right compared to our first answer.