Verified answer

Here's the solution:-

-11 < 2x-1 < -3

=> -11 < 2x-1 & 2x-1 < -3

=> -11+1 < 2x & 2x < -3+1

=> -10 < 2x & 2x < -2

=> -5 < x & x < -1

Therefore, we get -5 < x < -1.

(Your answer that -5 > x > -1 can't be true as a number x can't be smaller than -5 and larger than -1 at the same time as -5 < -1.)

By adding 1 to all sides

-11+1<2x-1+1<-3+1

-10<2x<-2 Divide by 2

-5<x<-1 That's the answer

Therefore the solution set is x belongs to the open interval ]-5,-1[

to solve this inequality; we have to eliminate it to the simplest x factor

-11 <2x -1 < -3 by adding 1 to each side of the inequalities yields

-11 + 1 < 2x -1 +1 < -3 +1

-10 < 2x < -2 now by dividing each part of the inequalities by 2 we have

-10/2 < 2x/2 <-2/2

-5 < x < -1

-11 < 2x -1 < -3

-11 + 1 < 2x - 1 + 1 < -3 + 1

-10 < 2x < -2

-10/2 < 2x/2 < -2/2

-5 < x < -1

The answer is -5 < x < -1

- 10 < 2x < - 2

- 5 < x < - 1

If 2x - 1 > -11 then 2x > -11 + 1, so 2x > -10, so x > -5

If 2x - 1 < -3 then 2x < -3 + 1, so 2x < -2, so x < -1

The answer is that -1 > x > -5

i.e. x lies between -1 and -5.

You have the > and < signs confused.

-11<2x-1<-3

-11+1<2x+1<-3+1

-10<2x<-2

-5<x<-1

it would be the answer you think if it was -2x

i'm particularly particular you employ FOIL (First, outdoors, interior, final) here. So No. a million is: (4x cases 2x) plus (4x cases 7y) etc. then you particularly would desire to get 8xsquared plus 28xy minus 10xy minus 35y2 After that this is 8xsquared - 35ysquared + 18xy. a minimum of i'm hoping so.

Add one to both sides.

-10 < 2x < -2

Divide all by 2.

-5 < x < -1

Ta-da! =D