Question

Solve for × and write answer in interval notation.


`(1)/(x + 1) \geqslant (3)/(x - 2)`
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Answer 1

( -∞, -2.5] ∪ (-1, 2)

Explanation:

1/(x + 1) ≥ 3/(x - 2)

x - 2 ≥ 3(x + 1)

x - 2 ≥ 3x + 3

x - 3x ≥ 3 + 2

-2x ≥ 5

x ≤ -2.5

Interval notation:

( -∞, -2.5] ∪ (-1, 2)