SOLUTION: Solve for x: a)y-x=6 b)1/x+7>-3

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Question 65355: Solve for x:
a)y-x=6
b)1/x+7>-3

Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
Solve for x:
a)y-x=6
y-y-x=6-y
-x=6-y
-1(-x)=-1(6-y)
x=-6+y <---this is fine
x=y-6 <---some teachers don't want leading negatives if possible, if that's the case switch the order.
b)1/x+7>-3
If this is what your mean:
1%2Fx%2B7%3E-3
1%2Fx%2B7%2B3%3E-3%2B3
1%2Fx%2B10%3E0 Now solve this like it's an equation.
1%2Fx=-10
%281%2Fx%29%5E%28-1%29=%28-10%29%5E%28-1%29
x=-1%2F10 <---That's a critical number along with 0, because it's undefined at 0.
(-infinity,-1/10) or (-1/10,0) or(0,infinity)
For (-infinity,-1/10) test -1
1%2F-1%2B7%3E-3
-1%2B7%3E-3
6%3E-3 True, accept this interval.
For (-1/10,0) test -1/11
1%2F%28-1%2F11%29%2B7%3E-3
-11%2B7%3E-3
-4%3E-3 <---false reject this interval
For (0,infinity) test 1
1%2F1%2B7%3E-3
1%2B7%3E-3
8%3E-3 <--true accept this interval
The solution is: (-infinity,-1/10)U(0,infinity)
Happy Calculating!!!