Explicación paso a paso:
x+2/x-3 ≥ 2
x+2/x-3 - 2 ≥ 0
x+2/x-3 - 2(x-3)/x-3 ≥ 0
[(x+2) - 2(x-3)]/x-3 ≥ 0
[x+2-2x+6]/x-3 ≥ 0
[-x+8]/x-3 ≥ 0
(x-8)/(x-3) ≤ 0
x ∈ < 3,8]
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Explicación paso a paso:
x+2/x-3 ≥ 2
x+2/x-3 - 2 ≥ 0
x+2/x-3 - 2(x-3)/x-3 ≥ 0
[(x+2) - 2(x-3)]/x-3 ≥ 0
[x+2-2x+6]/x-3 ≥ 0
[-x+8]/x-3 ≥ 0
(x-8)/(x-3) ≤ 0
x ∈ < 3,8]