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For what values of x is 2x^2+8x greater or equal to -6? Express your answer in interval notation.

 Feb 28, 2020
 #1
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2x^2  + 8x   ≥  - 6

 

2x^2  + 8x +  6  ≥  0      divide through  by  2

 

x^2  + 4x + 3  ≥ 0     factor the left side

 

(x + 3) ( x + 1)  ≥   0

 

Note  that  this is true on the intervals   ( -inf, -3)    U  [  -1, inf )

 

 

cool cool cool

 Feb 28, 2020

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