inequality
posted by greg .
(x4)/(2x+4) is greater than or equal to 1.
How do i express solutions to inequalities in interval notation without using the calculator? please help.
(x4)/(2x+4) >=1
multiplying by 2x+4
1) when (2x+4) is +,
x4>=2x+4 or
x2x>=8
x>=8
x<=8 notice the inequality reversed when multiplying by 1
2) when (2x4) is , you can work it out, but it should end up x>=8
So the question then is when does 2x4 become + or 
2x+4=0
x=2 So for x<2, 2x+4 is negative. looking at 1), we said the domain of the function was x<=8 when 2x+4 was postive, but 2x+4 is postive when x>2, so there is no x that can be <8 and >2, the solution does not exist.
Examining 2), x>=8 for when 2x+4 is negative, but for 2x+4 to be negative, then x<2. soe the range for x is between 8 and 2. Check Now, three values: x=10; 5; 0 See if the inequality given works for 5 but not the other values of x.
2x+15>3
i need help on it , i really don't understand
Don't Know!Don't care!
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