MultiStep Inequalities
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Key Questions

There isn't that big of a difference between solving a multistep equation and a multistep inequality.
When given the inequality solve as if your solving an equation but at the end there is a less than, greater than, or less than or greater than or equal to sign. One main difference is you switch the symbol when dividing by a negative.

I would start with arranging terms so that all variables are on one side.
I hope that this was helpful.

Solve it like a normal equation, with a few rules however.
#5x4>21# #5x4>21# (Add four to each side)#5x>25# (Divide by 5)#x>5# If you have to multiply or divide by a negative, the sign flips.
#5x4>21# (Repeat the same steps)#5x>25# Here we have to divide by a negative, 5, so the sign flips.#x<5# 
If your variable cancels out, there are two possible outcomes. Assuming you have an equation like
#x+3=x+9>3=9# and the
#x# variable cancels out. In this case, 3 is not equal to 9 so there is no solution.
An example of the other case is#2x+12=2x+(3^2+3)>12=9+3=12# Because this statement it true, that means any number could be in the place of that variable.
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Linear Inequalities and Absolute Value

1Inequality Expressions

2Inequalities with Addition and Subtraction

3Inequalities with Multiplication and Division

4MultiStep Inequalities

5Compound Inequalities

6Applications with Inequalities

7Absolute Value

8Absolute Value Equations

9Graphs of Absolute Value Equations

10Absolute Value Inequalities

11Linear Inequalities in Two Variables

12Theoretical and Experimental Probability