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Question
Solve x – 3 (2 + x) > 2 (3x – 1), x ∈ { – 3, – 2, – 1, 0, 1, 2, 3}. Also represent its solution on the number line.
Sum
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Solution
x – 3 (2 + x) > 2 (3x – 1)
⇒ x – 6 – 3x > 6x – 2
⇒ x – 3x – 6x > – 2 + 6
⇒ – 8x > 4
⇒ x < `(-4)/(8)`
⇒ x < `-(1)/(2)`
x ∈ { – 3, – 2, – 1, 0, 1, 2}
.’. Solution set = { – 3, – 2, – 1}
Solution set on Number Line :
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