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Find all real numbers X such that 18x-9>9 or 2x-4>-10

User Beefstu
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2 Answers

5 votes
So what we are going to do is the next thing:Consider 18x-9>9 1. add 9 to both sides 2. divide both sides by the coefficient of x (that is 18 in this case) Now Consider 2x-4>-10 1. Then add 4 to both sides 2. divide both sides by the coefficient of x (that is 2 in this case) The final solution would be x < 1 Hope this can fit what you are looking for

User Gedde
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3 votes
What you must do for this case is to solve both inequalities
We have then:
18x-9> 9
We clear x:
18x> 9 + 9
x> 18/18
x> 1
2x-4> -10
We clear x:
2x> -10 + 4
x> -6/2
x> -3
Therefore we have to
For 2x> -10 + 4
x belongs (-3, inf)
For 18x> 9 + 9
x belongs (1, inf)
The solution that is met for both inequalities is:x belongs (1, inf)
User Gilad Artzi
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