Question

What is 5 < -8 + x as an inequality?

Answer 1

First, let's work on the left hand side of your inequality, the 5
This means, for instance, to see if it can be simplified at all.
So, all-in-all, the left hand side of your inequality can be written as: 5Now, let's work on the right hand side of your inequality, the -8+x
Because of the minus sign8 becomes - 8The answer is -8-8+x evaluates to -8+xThe right hand side of your inequality can be written as: -8+xSo with these (any) simplifications, the inequality we'll set out to solve is:
5 ‹ -8+x
Move the 5 to the right hand side by subtracting 5 from both sides, like this:
From the left hand side:
5 - 5 = 0The answer is 0From the right hand side:
-8 - 5 = -13
Now, the inequality reads:
0 ‹ -13+xMove the x to the left hand side by subtracting x from both sides, like this:
From the left hand side:
The answer is -xFrom the right hand side:
x - x = 0The answer is -13
Now, the inequality reads:
-x ‹ -13 
To isolate the x, we have to divide both sides of the inequality by the other "stuff" (variables or coefficients)
around the x on the left side of the inequality.
The last step is to divide both sides of the inequality by -1 like this:
To divide x by 1The x just gets copied along in the numerator.The answer is x-x ÷ -1 = x-13 ÷ -1 = 13Note! Here's an important point about inequalities:We are now dividing by -1, which is a number less than zero! This changes the form of your inequality. Or, in other words, your ‹ will now become a ›.The solution to your inequality is:
x › 13

The answer is -13+x

Answer 2

5<-8+x is equal to x>13