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Solve the following linear inequations in R
12x < 50, when
i. x ∈ R
ii. x ∈ Z
iii. x ∈ N
Given 12x < 50
i. x ∈ R
When x is a real number, the solution of the given inequation is.
ii. x ∈ Z
As, when x is an integer, the maximum possible value of x is 4.
Thus, the solution of the given inequation is {…, –2, –1, 0, 1, 2, 3, 4}.
iii. x ∈ N
As, when x is a natural number, the maximum possible value of x is 4 and we know the natural numbers start from 1.
Thus, the solution of the given inequation is {1, 2, 3, 4}.