Answer:
x < -5
Step-by-step explanation:
The goal of this problem is for the x to be in the form of x < or > {Number}.
So let's isolate x!
5x + 1 < 4x - 4
Let's remove the x and its factor from the right side by subtraction.
5x + 1 < 4x - 4
-4x -4x
______________
1x + 1 < -4
Now X is on one side, however, whenever a coefficient is 1, it can be excluded from the formula.
x + 1 < -4
So let's subtract 1 from the left, so x is isolated.
x + 1 < -4
-1 -1
_______
x < -5
There we go!
We can check the direction of the inequality sign by putting in a number that fulfills the inequality.
For example, if X has to be less than -5, we can use -6.
5(-6) + 1 < 4(-6) -4
-30 + 1 < -24 - 4
-29 < -28
This is true, so the problem is complete!
