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Question
Solve 5x – 3 < 7, when x is an integer.
Sum
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Solution
The given inequality is 5x– 3 < 7.
5x - 3 < 7
= 5x - 3 + 3 < 7 + 3
= 5x < 10
= `(5x)/5 < 10/5`
= x < 2
The integers less than 2 are …, –4, –3, –2, –1, 0, 1.
Thus, when x is an integer, the solutions of the given inequality are …, –4, –3, –2, –1, 0, 1.
Hence, in this case, the solution set is {…, –4, –3, –2, –1, 0, 1}.
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