Question 261961: what is 2x+1>3x?
how do you do it and what is the awnser.
Answer by solver91311(24713)   (Show Source):
You can put this solution on YOUR website!
Is a rather handsome little single variable inequality.
"How you do it" is really a function of what you want to do with it. I don't know what the "awnser" is. I don't know what "awnser" means. If you meant "answer" then your inequality doesn't have one, per se. What it has is a solution set that consists of a set of infinitely many real number values which, when substituted for the variable in the inequality, make the inequality a true statement.
You can simplify the inequality and thereby derive a description of the values that are part of the solution set. If that is what you meant by "do it" in the sense of "How do you do it", then I may be able to help you:
Add  to both sides of the inequality:
Add -1 to both sides of the inequality:
Multiply by -1. Remember that when you multiply an inequality by a negative number, you must reverse the sense of the inequality -- > becomes < and < becomes >.
So our solution set is the set of all real numbers that are less than 1.
Check the answer. Pick a number less than 1, let's choose 0. Substitute 0 into the original inequality:
\ +\ 1\ >\ 3(0))
which is to say:
which is a true statement, and gives us a clue that we are on the right track.
Now pick a number greater than 1. Let's try 2. Again, substitute:
\ +\ 1\ >\ 3(2))
which is to say:
which is a false statement as it should be since we selected a value that is not in the solution set.
And if you really want to make sure, pick 1 and substitute:
\ +\ 1\ >\ 3(1))
which is to say:
which is also a false statement. 3 is equal to 3, not greater than 3.
John
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