Math

Solve the polynomial inequality

x^2+5x >or= -6

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

or [-3,-2]

1. 👍 0
2. 👎 0
3. 👁 88
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.

1. 👍 0
2. 👎 0
posted by Reiny

Similar Questions

1. MATH

I have been trying to do this problem for a couple of days but i cant seem to get the answer. Any help would be greatly appreciated. For each of the following forms determine whether the following limit type is indeterminate,

asked by bobby on April 16, 2012
2. Inequality

please check my answers. thanxs! Solve the polynomial inequality and graph the solution set on a number line. Express the solution set in interval notation. x^2 - 6x + 5 > 0 -I got (-ininity,1) u (5, infinity) x^2 - 3x - 18 < 0 -I

asked by Liz on October 23, 2007
3. Algebra

please check my answers. thanxs! Solve the polynomial inequality and graph the solution set on a number line. Express the solution set in interval notation. x^2 - 6x + 5 > 0 -I got (-ininity,1) u (5, infinity) x^2 - 3x - 18 < 0 -I

asked by Liz on October 24, 2007
4. ALGEBRA

Solve the inequality. (Enter INFINITY for infinity and -INFINITY for -infinity as needed.) 9-x>=4 x + 34

asked by Randy on April 11, 2012
5. ALGEBRA

Solve the inequality. (Enter INFINITY for infinity and -INFINITY for -infinity as needed.) 3

asked by Randy on April 11, 2012
6. ALGEBRA

Solve the inequality. (Enter INFINITY for infinity and -INFINITY for -infinity as needed.) 6

asked by Mike on April 30, 2012
7. ALGEBRA

Solve the inequality. (Enter INFINITY for infinity and -INFINITY for -infinity as needed.) 6

asked by Randy on April 25, 2012
8. Algebra

Solve x(x-7)(x-9)

asked by Rachale on July 22, 2009
9. Math

What is the domain of f/g, given f(x)= x+2 and g(x)= x-7? I was told this below, all real numbers EXCEPT 7 But My choices are this, (-infinity,7) U (7,infinity) (-infinity,-7) U (-7,infinity) (-infinity,-2) U (-2,7)U (7,infinity)

asked by Kate on December 14, 2017
10. Calculus

Find the horizontal asymptote of f(x)=e^x - x lim x->infinity (e^x)-x= infinity when it's going towards infinity, shouldn't it equal to negative infinity, since 0-infinity = - infinity lim x-> -infinity (e^x)-x= infinity

asked by sh on December 8, 2010

More Similar Questions