what is -5x+1>11?

Hi,

For this question, we need to isolate for x alone similar to what we do in an equation to get:

-5x > 10

Now, at this point, we need to divide both sides of the equation by -5 to get the x alone on one side of the equation. However, notice that we're dividing both sides of the equation now by -5 to get the inequality sign to be flipped to get:

x < -2 ( FINAL ANSWER )

I hope that helps you out! Please let me know if you have any other questions!

-5x > 10

divide by -5 (dividing by a negative switches the ">" sign)

Answer: x < -2

1 - 11 > 5x
- 10 > 5x
x < - 2

-5x + 1 > 11
-5x > 11 - 1
-5x > 10
x < 10/-5
x < -2

to find out what X is, only X has to be one one side of the equation (X=...)
but, as you can see, the -5 and the 1 is there. So let's first move the 1 to the other side. to do that, you have to subtract 1 from both sides (or else, if you only subtract from one side, that side will be less than the other one)

-5X+1-1>11-1 =
-5X>10

now move the -5 to the other side. To do that, you have to divide -5 from each sides (divide, because is says -5*X (-5 times X and not -5+X))

-5X/-5<10/-5 =
x<-2

if you divide by a negative number (here -5), the signs switch from < to > and from > to <.

example :

1<2
now divide by -1
-1<-2 is wrong so you have to switch the sign
-1>-2

now you can check if it's right. So, pick any number for X that is smaller than -2 for example -4

-5*-4+1>11
20+1>11
21>11

correct!

-5x + 1> 11

subtract 1 from both sides

-5x + 1 -1 > 11 - 1

-5x > 10

Divide both sides by -5, when dividing by a negative number, the direction of the inequality is reversed

-5x/-5 < 10/-5

x < -2

-5x+1>11
multiply by (-1) , when you do so you have to change > into <
5x-1<-11
5x<-10
x<-2
Therefore x can take any value below (-2) like -3,-4,-5,-6....etc

x would have to be -3 or less -4, -5, ect. to make -5x=1 >(greater than) 11.