please solve -2x < 4x+8 > -12?

Answer 1

Break it up:
(1)
-2x< 4x+8
-8 <4x +2x
-4/3< x

(2)
4x+8>-12
4x > -20
x > -5

Combining:
x > -4/3
x > -5
therfore, x > -4/3

Answer 2

you initiate off by way of getting the x's on a side, and the numbers on the different, then you definitely relatively sparkling up the question as an equation, yet be conscious that negatives linked to x will substitute the sign whilst moved to the different area, like in (-4x < -8) the respond would be (x > 2), and for the 1st question, right this is the respond: x + 5 > 2x +a million 5 - a million > 2x - x 4 > x ===================== it extremely is it! common top?!

Answer 3

Ok. In this type of situation, we're being told that the center term is greater than both of the outside terms. We don't know anything about the relationship of -2x and -12. So, I would recommend two different inequalities.

4x+8>-12
4x>-20
x>-5

and

4x+8>-2x
6x>-8
x>-8/6 or x>-1 1/3

Since -1 1/3 > -5, the only way x can satisfy both requirements is for
x > -1 1/3.

Answer 4

-2x<4x+8 4x+8>-12
-4x -4x -8 -8
-6x<8 4x>-20
/ -6 /-6 /4 /4
x>-8/6 x>-5
x>-4/3

so the answer would be x>-4/3 and x>-5

Answer 5

-4-10

Answer 6

12x