Binomial Theorem

Question

Solve -12x > 30, when

(i) x is a natural number. (ii) x is an integer.

Solution

-12x > 30
$rightwards double arrow$ $fraction numerator negative 12 straight x over denominator negative 12 end fraction less than fraction numerator 30 over denominator negative 12 end fraction$ (∵ -12 < 0)
$rightwards double arrow$ $WiredFaculty$
∴ (i) When $straight x space element of space straight N$ , there is no solution
∴ The solution set is $straight ϕ$ .
(ii) When $WiredFaculty$
The solution set is $WiredFaculty$