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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(negative 10 comma negative 5 comma 0 comma 5 comma 10), what is the probability that it is a member of the solution set of both (3 times x) minus 2 less than 10 and x + 2 greater than negative 8?

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

答案和解析

答案：C

解析：

If (3 times x) minus 2 less than 10 and x+2 greater than minus 8,then negative 10 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.