SOLUTION: Someone please could help me with that?
Solve the nonlinear inequality. Express the solution using interval notation.
x^2(x^2 − 36) ≥ 0
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Question 947633: Someone please could help me with that?
Solve the nonlinear inequality. Express the solution using interval notation.
x^2(x^2 − 36) ≥ 0
Found 2 solutions by stanbon, MathLover1:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Express the solution using interval notation.
x^2(x^2 − 36) ≥ 0
--------
Factor::
x^2(x-6)(x+6) >= 0
----------------------
Draw a number line and plot x = -6, x = 0, x = 6
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Some Solutions:: x = 0, x = -6, x = 6
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Check a value in each of the intervals to find solutions for the inequality::
x^(x-6)(x+6 > =
Check x = -10:: +*-*- > 0 :: true
----
Check x = -3:: +*-*+ > 0 :: false
----
Check x = 3:: +*-*+ > 0 :: false
----
check x = 10:: +*+*+ > 0 ;; true
----
Solutions:: (-oo,-6] ; (0) ; [6,+oo)
==============
Cheers,
Stan H.
--------------
Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!
.....simplify
=> =>=>
solution interval:
if : [,)
if:(,]
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