Solve the following linear inequations in R

–4x > 30, when

i. x ∈ R

ii. x ∈ Z

iii. x ∈ N

Given –4x > 30

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 –8.

Thus, the solution of the given inequation is {…, –11, –10, –9, –8}.

iii. x ∈ N

As natural numbers start from 1 and can never be negative, when x is a natural number, the solution of the given inequation is ∅.