I'm trying to solve this inequality, but first I need to find out what the points of interest
are.
I've got to the point in the solution where I thought I should be able to factorise but the equation I'm getting an awkward set of figures.
Please can you check to see if I've done the calculation correctly so far to save me from going down completely the wrong path with this.
Thanks
The inequality is
\(\displaystyle 30/ (x+1) < x+2\)
Bringing all the terms onto the LHS:
\(\displaystyle 30/ (x+1) - x-2= 0\)
Multiply through by (x+1)
\(\displaystyle [30-(x-2)(x+1)] / (x+1) = 0\)
\(\displaystyle (30-x^2 +x+2)/ (x+1) = 0\)
\(\displaystyle (-x^ +x+32) / (x+1) = 0\)
Multiply top line by –1
\(\displaystyle (x^2 +x+32) / (x+1) = 0\)
At this stage I'm not sure Ive done it right so far because I don't seem to be easily able to factorise this equation.
Can you help me to progress this?
Thanks
are.
I've got to the point in the solution where I thought I should be able to factorise but the equation I'm getting an awkward set of figures.
Please can you check to see if I've done the calculation correctly so far to save me from going down completely the wrong path with this.
Thanks
The inequality is
\(\displaystyle 30/ (x+1) < x+2\)
Bringing all the terms onto the LHS:
\(\displaystyle 30/ (x+1) - x-2= 0\)
Multiply through by (x+1)
\(\displaystyle [30-(x-2)(x+1)] / (x+1) = 0\)
\(\displaystyle (30-x^2 +x+2)/ (x+1) = 0\)
\(\displaystyle (-x^ +x+32) / (x+1) = 0\)
Multiply top line by –1
\(\displaystyle (x^2 +x+32) / (x+1) = 0\)
At this stage I'm not sure Ive done it right so far because I don't seem to be easily able to factorise this equation.
Can you help me to progress this?
Thanks