SOLUTION: 2. Solve the following inequality and write your answer using interval notation. Please show all your work.
3/x-7>5/2x+3
Algebra ->
Rational-functions
-> SOLUTION: 2. Solve the following inequality and write your answer using interval notation. Please show all your work.
3/x-7>5/2x+3
Log On
Question 468489: 2. Solve the following inequality and write your answer using interval notation. Please show all your work.
3/x-7>5/2x+3 Answer by lwsshak3(11628) (Show Source):
You can put this solution on YOUR website! Solve the following inequality and write your answer using interval notation. Please show all your work. 3/x-7>5/2x+3
...
I will assume 5/2x is the same as 5x/2
3/x-7>5x/2+3
LCD:2x
6-14x>5x^2+6x
0>5x^2+20x-6
5x^2+20x-6<0
..
5x^2+20x-6=0
solve by quadradic formula
x=[-20ħsqrt (20^2-4*5*-6)]/2*5
x=[-20ħ√520]/10
x=(-20ħ22.8)/10
x=-4.28
or
x=.28
..
5x^2+20x-6<0
(x+4.28)(x-.28)<0
By interval notation:
solution:(-4.28,.28)
(