Question

solve -12x>30 when :xis a natural number

Answer 1

Heya frnd

________......

-12x>30
-x > 30 /12
-x> 10/4
-x>2.5
x< -2.5

Answer 2

Heyaa Mate .. ❤

(i) Given that, – 12x > 30

Now by dividing the inequality by -12 on both sides we get, x < -5/2

When x is a natural integer then

It is clear that there is no natural number less than -2/5 because -5/2 is a negative number and natural numbers are positive numbers.

Therefore there would be no solution of the given inequality when x is a natural number.

(ii) Given that, – 12x > 30

Now by dividing the inequality by -12 on both sides we get, x < -5/2

When x is an integer then

It is clear that the integer number less than -5/2 are…, -5, -4, – 3

Thus, solution of – 12x > 30 is …,-5, -4, -3, when x is an integer.

Therefore the solution set is {…, -5, -4, -3}