Question

Find the possible value of n in the inequality -3n <81

a.n <27

b is wrong

c.n=27

d. n>-27

Answer 1

Option D. n > -27

Explanation:

The given inequality is -3n < 81

By dividing this inequality with 3 inequality remains unchanged.

`(-3n)/(3)< (81)/(3)`

-n < 27

Now subtract 27 on both the sides

-n - 27 < 27 - 27

-n - 27 < 0

Now add n on both the sides

-n + n - 27 < 0 + n

-27 < n

n > -27

In other words,

when we change the signs of the terms on both the sides of the inequality, inequality gets reversed (sign of greater than becomes less than or sign of less than becomes greater than).

Therefore, Option d. will be the answer.

Answer 2

Given the inequality -3n < 81, if we divide both sides by -3, the inequality sign changes. That means we have n > -27. Thus, the answer is d.