SOLUTION: I am having trouble with solving inequalities. Can you please help?
Solve the inequality: x^2-8x≤4x-36
If you could help I will greatly apprecaite it.
Thanks in ad
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Question 52872: I am having trouble with solving inequalities. Can you please help?
Solve the inequality: x^2-8x≤4x-36
If you could help I will greatly apprecaite it.
Thanks in advance.
Answer by funmath(2933) (Show Source): You can put this solution on YOUR website!
Set the problem <=0
Solve as if it's an equality, factor and solve for x:
x-6+6=0+6
x=6
Since this is an inequality, we have to check values bigger and smaller than 6 to see what kind of inequality sign that we need.
When x=0,
(0-6)(0-6)=36, which is not less than 0.
When x=7
(7-6)(7-6)=1*1=1, which is also not less than 0.
Therefore, the only value for which
is x=6
Interval notation:[6]
Set notation:{6}
Set Builder Notation:{x|x=6}
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