Question 320933: -5 < 9x + 8 -8x
I need step by step break down so i can understand what i am doing please
Answer by nyc_function(2741)   (Show Source):
You can put this solution on YOUR website! -5 < 9x + 8 -8x
Treat it like a regular equation disregarding the inequality sign.
On the right side, combine like terms. We can combine 9x and -8x because they both share an x. After that, subtract 8 from both sides.
-5 < 9x - 8x + 8
-5 < x + 8
-5 - 8 < x
-13 < x
Done!
But, what does the answer mean?
It means that any value you choose for x must be bigger than -13 to make the original inequality question a true statement.
Let me ask you some questions.
Can x be -15?
No, because -15 is smaller than -13.
Can x be -100?
No, because -100 is smaller than -13.
It must be bigger than -13. Any number to the right of -13,
(not including -13), on the real number can be used to replace x with. The question, however, is not asking you to replace x with a number. The correct answer is -13 < x. I just wanted to break down the answer a bit more in detail.
Understand?
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