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These things do not affect the direction of the inequality:

Add (or subtract) a number from both sides Multiply (or divide) both sides by a positive number Simplify a side The rule is to  is to have x (or whatever the variable is) on its own on the left of the inequality sign.

But these things do change the direction of the inequality ("<" becomes ">" for example):

Multiply (or divide) both sides by a negative number Swapping left and right hand sides. Hope this helps ;)

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