106k views
4 votes
6. Select all the inequalities that have the same solutions as -4x < 20.

A. -x > 5
B. 4x > -20
C. $4x
D. $x
E. x > 5
F. x > -5

(From Unit 6, Lesson 13.)

User Sunnytown
by
8.4k points

2 Answers

4 votes

Answer: F, b, a

Explanation:

User Henry Grantham
by
7.8k points
5 votes

Answer:

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

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.

User Khayam Khan
by
8.0k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories