Question

If one natural number is selected from the first 70 natural numbers, the probability that it is a solution of the inequation 3x – 2 > x + 42, is ______.

Answer 1

If one natural number is selected from the first 70 natural numbers, the probability that it is a solution of the inequation 3x – 2 > x + 42, is `underlinebb(24/35)`.

Explanation:

Solving the inequation gives \[3x-2>x+42\Rightarrow x>22\]. The qualifying numbers are 23 through 70, giving 48 numbers out of 70.

Therefore, the probability is \[\frac{48}{70} = \frac{24}{35}\].