To solve this inequality, we first need to isolate the variable x.
3/x - 1 >= x + 1
Add 1 to both sides:
3/x >= x + 2
Multiply both sides by x to get rid of the fraction:
3 >= x^2 + 2x
Rearrange to set the inequality to zero:
x^2 + 2x - 3 <= 0
Now we need to factorize the quadratic equation:
(x + 3)(x - 1) <= 0
This gives us the solutions x <= -3 and x >= 1.
So, the solution to the original inequality is x <= -3 or x >= 1.
To solve this inequality, we first need to isolate the variable x.
3/x - 1 >= x + 1
Add 1 to both sides:
3/x >= x + 2
Multiply both sides by x to get rid of the fraction:
3 >= x^2 + 2x
Rearrange to set the inequality to zero:
x^2 + 2x - 3 <= 0
Now we need to factorize the quadratic equation:
(x + 3)(x - 1) <= 0
This gives us the solutions x <= -3 and x >= 1.
So, the solution to the original inequality is x <= -3 or x >= 1.