Question of the Day

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6/1

Jan
7
2013
229,159 responses
Question of the Day Statistics
Number Answered
Correct 120,504
Incorrect 108,655
52% correct

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?

Answer Choices

Hint

You can solve the system of inequalities for x, or you can check each of the five elements of the set to see whether or not it is in the solution set of both inequalities.

Question of the Day

Can you answer today's question?

Register Next Tests:
6/1

Jan
7
2013
229,159 responses
Question of the Day Statistics
Number Answered
Correct 120,504
Incorrect 108,655
52% correct

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?

Answer Choices

Answer

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.