Question

Nine and one-half less than four and one-half times a number is greater than 62.5. Which of the following represents the solution set of this problem? choices are: 16, +infinity ... -16, +infinity ... -infinity, 16 or -infinity, -16

Answer 1

well Nine and one-half = 9(1/2)
and four and one-half times a number = 4(1/2) n

Nine and one-half less than four and one-half times a number = 4n(1/2) - 9(1/2)

Nine and one-half less than four and one-half times a number is greater than 62.5. = 4n(1/2) - 9(1/2)>62.5

Answer 2

16, +infinity ... -16, +infinity ... -infinity, 16 or -infinity, -16 ?.. The answer provided didn't help. @sangya21

Answer 3

you can solve it for n
4(1/2) n -9(1/2) > 62.5
(((4*2) +1)/2)n - (((9*2)+1)/2) > 62.5

Answer 4

(9/2)n -19/2> 62.5
(9/2)n > 62.5 + 19/2
\[n > (62.5 +19/2) \div 9/2\]