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Question
Solve 3x + 8 > 2, when x is an integer.
Sum
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Solution
The given inequality is 3x + 8 > 2.
3x + 8 > 2
⇒ 3x + 8 - 8 > 2 - 8
⇒ 3x > - 6
⇒ `(3x)/3 > (-6)/3`
⇒ x > - 2
The integers greater than –2 are –1, 0, 1, 2, …
Thus, when x is an integer, the solutions of the given inequality are –1, 0, 1, 2 …
Hence, in this case, the solution set is {–1, 0, 1, 2, …}.
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