Mathematics
The solution set of the inequality 17 - 4x < 7, x ∈ Z is
- {1, 2, 3, ……………}
- {2, 3, 4, ……………}
- {3, 4, 5, ……………}
- {4, 5, 6, ……………}
Linear Inequations
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Answer
Given:
17 - 4x < 7
⇒ 17 - 7 < 4x [Subtracting 7 and adding 4x on both sides]
⇒ 10 < 4x
⇒ < x [Dividing both sides by 4]
⇒ 2.5 < x
⇒ x > 2.5
Integers greater than 2.5 are {3, 4, 5, …}
Hence, option 3 is the correct option.
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