Question

What is the solution to the following inequality?
-3x < 6

A. x> 2
B. x > -2
C. x < -2
D. x < 2

Answer 1

@ParthKohli

Answer 2

I can help.

Answer 3

What do you think the answer is? Just take a guess.

Answer 4

We want to start by dividing both sides by -3

Answer 5

This will turn the problem into x > -2

Answer 6

@Zeronknight understand?

Answer 7

Not exactly?

Answer 8

Okay so, we have -3 < 6 right?

Answer 9

We will start by dividing both sides by -3

-3/-3 < 6/-3
The -3's on the left cancel out, and on the right 6/-3 = -2

Answer 10

hmm

Answer 11

So, on the left side we are left with just the variable 'x' and on the right side we now have -2

Answer 12

So, we know we can cross out A and D because those are incorrect.

Answer 13

? Why is the answer negative? 6 / 3 = 2

Answer 14

because any negative divided by a positive number will equal a negative number

Answer 15

for example, -12/4 = -3

Answer 16

ohhh but 6 isn' negative

Answer 17

right.

Answer 18

6/-3 = -2

Answer 19

because positive 6 is being divided by a negative number (-3)

Answer 20

it will equal -2

Answer 21

are you still confused? @Zeronknight

Answer 22

I have given the answer.

Answer 23

i think I get it. so 3x < -2?

Answer 24

no, the answer is B.

Answer 25

This is because -3x/-3 will cancel out and just leave the variable 'x'

Answer 26

I hope I have been a nice help, have a good day.

Answer 27

ohhhhhh

Answer 28

thank you

Answer 29

no probs.