The correct answer is C

Explanation

If (3 times x) minus 2 less than 10 and x + 2 greater than minus 8, then negative 10 less than x less than 4. The numbers from the listed set that satisfy these inequalities are negative 5 and 0. There are five elements in the listed set, so the probability of a number chosen at random from the set being a member of the solution set of both inequalities is 2 over 5.