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Question
Solve: 4x − 2 < 8, when x ∈ Z
Solution
\[\text{ We have }, 4x - 2 < 8\]
\[ \Rightarrow 4x < 8 + 2 (\text{ Transposing - 2 to the RHS })\]
\[ \Rightarrow 4x < 10\]
\[ \Rightarrow x < \frac{10}{4} (\text{ Dividing both the sides by } 4)\]
\[ \Rightarrow x < \frac{5}{2}\]
\[ x \in Z\]
\[\text{ Then, the solution of the given inequation is } \left\{ . . . . . . . - 3, - 2, - 1, 0, 1, 2 \right\} . \]
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