每日一题

Mathematics>Standard Multiple Choice

Read the following SAT test question and then click on a button to select your answer.

If a number is chosen at random from the set(-10,-5,0,5,10), what is the probability that it is a member of the solution set of both (3x)-2 less than 10 and x + 2 greater than -8?

(A) 0
(B) 1/5
(C) 2/5
(D) 3/5
(E) 4/5

答案和解析

答案：C

解析：

If (3x) - 2 less than 10 and x + 2 greater than -8, then -10 less than x less than 4. The numbers from the listed set that satisfy these inequalities are -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 2/5.