Math

Solve the polynomial inequality

x^2+5x >or= -6

(-infinity, -3]u [-2, infinity)

or [-3,-2]

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asked by lt
  1. x^2+5x >or= -6 or
    x^2 + 5x + 6 ≥ 0
    (x+2)(x+3) ≥ 0

    the critical values are x = -2, x= -3

    if we consider y = x^2 + 5x + 6 we have a parabola which opens upwards and crosses the x-axis at -2 and -3
    so it will be above the x-axis (or ≥ 0 )
    for

    x ≤ -3 OR x ≥-2

    I suppose your notation of (-infinity, -3]u [-2, infinity) means the same thing, it just looks quite awkward.

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    posted by Reiny

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