SOLUTION: What is the answer to -2 + (the square root of 9-5x)> or equal to 6?

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Question 181526: What is the answer to -2 + (the square root of 9-5x)> or equal to 6?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
-2 + (the square root of 9-5x)> or equal to 6?
:
-2 + sqrt%289-5x%29 >= 6
add 2 to both sides
sqrt%289-5x%29 >= 6 + 2
sqrt%289-5x%29 >= 8
square both sides:
9 - 5x => 64
:
-5x => 64 - 9
:
-5x => 55
we want the variable(x) to be positive, mult both sides by -1
this reverses the inequality sign
5x =< -55
x =< %28-55%29%2F5
x =< -11
:
:
Check solution in original equation
-2 + sqrt%289-5%28-11%29%29 = 6
-2 + sqrt%289%2B55%29 = 6
-2 + sqrt%2864%29 = 6