ifx€{-3,-2,-1,0,1,2,3} find the solition set of x+2<1
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Condition : x ∈ { -3, -2, -1, 0, 1, 2, 3 }
Solution of Set A = { x + 2 < 1 }
Since we are required to find the solution set, we need to substitute the given values of x in the Set A such that condition is fulfilled. The values that fulfill the condition are the solution Set of A.
1 ) x = -3
⇒ x + 2 = -3 + 2 = -1
We know that, -1 < 1 . Hence, -3 is one of the terms of Solution Set.
2 ) x = -2
⇒ x + 2 = -2 + 2 = 0
We know that 0 < 1 . Hence -2 is one of the terms of Solution Set.
3 ) x = -1
⇒ x + 2 = -1 + 2 = 1
We know that 1 is not less than 1. Hence it is not the solution set.
Since -1 has not satisfied, other values greater than -1 will also not satisfy.
Hence the Solution Set = { -3, -2 }
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