Question

Solve -4x > 12.

A. x > -3
B. x > -48
C. x < -3
D. x < -48

Answer 1

okay lets think about this. if x = -3, then what is -4x?

Answer 2

12?

Answer 3

that is correct. is 12 greater than 12?

Answer 4

no

Answer 5

-4x > 12

12 divided 4 = 3.
C. x < -3

You flip the sign because you're dividing by a negative

Answer 6

OH :)

Answer 7

okay great!
so lets try this suppose x = -4 , what is -4x?

Answer 8

1?

Answer 9

you see that -4x = 16 >12. so intuitively you know that all the numbers which satisfy this inequality must be lesser than -3.
in mathematical terms,
-4x >12 which means -x >3 which means x<-3

Answer 10

if x = -4, then -4x = -4(-4) = 16

Answer 11

oh because you multipiled

Answer 12

right. so if you think about it, x = -3 gives an answer equal to 12
x = -4 gives an answer > 12. this means that x must be lesser than -3 to satisfy this condition.

Answer 13

x =-2 on the other hand gives 8 which is less than 12.
so numbers greater than -3 do not satisfy this inequality

Answer 14

thx

Answer 15

really helpful

Answer 16

you are welcome :)