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Question
Solve `2/3` (x + 1) + 4 < 10 and represent its solution on a number line.
Given replacement set is {-8, -6, -4, 3, 6, 8, 12}.
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Solution
`2/3` (x + 1) + 4 < 10
`=> 2/3 ("x" - 1) < 10 - 4`
`=> 2/3 ("x" - 1) < 6`
⇒ 2(x − 1) < 18
⇒ x − 1 < 9
⇒ x − 1 + 1 < 9 + 1 ...(Adding 1 to both sides)
⇒ x < 10
Thus x < 10
Since, replacement set = {−8, −6, −4, 3, 6, 8, 12}
⇒ Solution set = {−8, −6, −4, 3, 6, 8}
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