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Question
Solve the inequation given below and represent its solution set on a number line:
`(3x - 5)/6 > 1/2, x ∈ {0, 1, 2, 3, 4, 5, 6}`
Sum
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Solution
Given,
⇒ `(3x - 5)/6 > 1/2`
⇒ `3x - 5 > 6/2`
⇒ 3x – 5 > 3
⇒ 3x > 3 + 5
⇒ 3x > 8
⇒ `x > 8/3`
⇒ x > 2.67
Since, x ∈ {0, 1, 2, 3, 4, 5, 6}
Hence, solution set = {3, 4, 5, 6}.
Solution on the number line is:
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