Question

Find all numbers such that three times the number is greater than eight less than the number.

Answer 1

ALL SUCH NUMBERS WHICH ARE GREATER THAN -4 satisfy the given condition.

Explanation:

Here, assume such number = m

Now, given :

3 times the number = 3 x ( m) = 3 m

8 less than the given number = m - 8

Now, according to the question:

3 times the number > 8 less than the given number

or, 3 m > m - 8

or, 3m - m > m - 8 + m

or, 2 m > - 8

or, m > - 4

Hence, all SUCH NUMBERS WHICH ARE GREATER THAN -4 satisfy the given condition.