Question

solve for x
2x+1
-------------- ≤ 0
x-2

Answer 1

\[-\frac{1}{2}\leq x<2\]

Answer 2

Process note: Since the LHS is already compared to zero and in the form of a single rational expression, all we have to do is find the roots of the numerator and denominator, put those on the number line, find the sign of the LHS on the various intervals marked, and determine which of those segments meets the specifications of the problem. When you do that, you get the answer above.