Given replacement set is (1,3,4,5,6,7,8,9) write the solution set of x≤ 6 and represent this on number line
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We have 3x - 5 < 4
⇒ 3x - 5 + 5 < 4 + 5 (Add 5 to both sides)
⇒ 3x < 9
⇒ 3x/3 < 9/3 (Divide both sides by 3)
⇒ x < 3
So, the replacement set = {1, 2, 3, 4, 5, ...}
Therefore, the solution set = {1, 2} or S = {x : x ∈ N, x < 3}
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