A number x is at most 2 less than 3 times the value of y . If the value of

Question

A number x is at most 2 less than 3 times the value of y . If the value of y is - 4 , what is the greatest possible value of x ?

Accepted Answer

The correct answer is - 14 . It's given that a number x is at most 2 less than 3 times the value of y . Therefore, x is less than or equal to 2 less than 3 times the value of y . The expression 3 y represents 3 times the value of y . The expression 3 y - 2 represents 2 less than 3 times the value of y . Therefore, x is less than or equal to 3 y - 2 . This can be shown by the inequality x &#8804; 3 y - 2 . Substituting - 4 for y in this inequality yields x &#8804; 3 - 4 - 2 or, x &#8804; - 14 . Therefore, if the value of y is - 4 , the greatest possible value of x is - 14 .

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