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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?

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Correct!

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.

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