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The variable x is a positive integer. If...

The variable x is a positive integer. If `3 (x-1) + 5 gt 11 and -5x + 18 ge -12,` how many possible values are there for x ?

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The correct Answer is:
C
Expand the first inequality to get `3x -3 + 5 gt 11, so 3x gt 9 and x gt 3.` Multiply the second inequaluty by -1, so that `5x -18 le 12.` This simplifies to `x le 6.` Combine the two results: `3 lt x le 6.` There are 3 allowed integer values for x: `4,5 and 6.` Grid in 3.
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