Given as
12x < 50
Therefore when we divide by 12, we get
12x/12 < 50/12
x < 25/6
(i) Given as x ∈ R
When x is a real number, the solution of the given inequation is (-∞, 25/6).
(ii) Given as x ∈ Z
When, 4 < 25/6 < 5
Therefore when, when x is an integer, the maximum possible value of x is 4.
The solution of the given inequation is {…, –2, –1, 0, 1, 2, 3, 4}.
(iii) Given as x ∈ N
When, 4 < 25/6 < 5
Therefore when, when x is a natural number, the maximum possible value of x is 4. As we know that the natural numbers start from 1, the solution of the given inequation is {1, 2, 3, 4}.
