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Question
List the solution set of 30 – 4 (2.x – 1) < 30, given that x is a positive integer.
Solution
30 − 4(2x − 1) < 30
30 − 8x + 4 < 30
34 − 8x < 30
−8x < −4
`x> (-4)/-8`
`x>1/2`
Since x is a positive integer, the smallest integer greater than `1/2` is 1.
Thus, the solution set for positive integers is:
{1, 2, 3, 4, 5, ...}
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