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Question
x(8 – x) > 0 and x ∈ N gives ______.
Options
0 ≤ x < 8
1 < x ≤ 8
0 < x < 8
0 ≤ x ≤ 8
MCQ
Fill in the Blanks
Solution
x(8 – x) > 0 and x ∈ N gives 0 < x < 8.
Explanation:
Given x(8 – x) > 0
`\implies` x(x – 8) < 0
`\implies` 0 < x < 8 ...[If (x – a)(x – b) < 0, a < b Then a < x < b]
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Solving Algebraically and Writing the Solution in Set Notation Form
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