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January 15th, 2017, 09:47 AM   #1
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Linear inequalities

X is a whole number.if three quarters of x is subtracted from 1,the result is always greater than 0.
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January 15th, 2017, 11:17 AM   #2
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What if $x = 1$, a whole number (last time I checked) ... ?
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January 15th, 2017, 08:15 PM   #3
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1 - (3/4)x > 0 is equivalent to x < 4/3.
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February 16th, 2017, 05:19 AM   #4
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Quote:
Originally Posted by skeeter View Post
What if $x = 1$, a whole number (last time I checked) ... ?
Then $1- (3/4)x= 1- 3/4= 1/4> 0$. I don't see your point.

But if $x= 2$ then $1- (3/4)x= 1- 3/2= -1/2$. Perhaps that was what you meant?
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February 23rd, 2017, 05:43 AM   #5
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In any case, the statement "X is a whole number. if three quarters of x is subtracted from 1,the result is always greater than 0" is not always true.

But there was no question asked in the original post. Chriskwajaffa, was the problem to determine values of x such that the statement is true?

If so, is the same as . Multiply on both sides by the positive number 4/3 (do you see why the fact that it is positive is important?) to get . So the statement is true for all x less than 4/3.
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