Q:

Select all of the ordered pairs that make the inequality y > x2 + 3x – 4 true. (0, 0) (2, 1) (–2, –1) (–5, –1)

Accepted Solution

A:
The correct answers are:
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   [A]:   " (0, 0) " ;   AND:
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   [C]:  " (-2, -1) " .
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Explanation:
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[A]:  " (0, 0) " ;  is correct; 

Since, when "x = 0"  and y = 0 : 

"0  > - 4 " ; which is correct.
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  [B]:  "(2, 1)" is incorrect,  since:

when "x = 2" and "y = 1" ; 

" 1 > 6"  ; is incorrect.
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[C]:  "(-2, -1)" ; is correct;

Since, when "x = -2" and y = -1" ; then:

   "-2  > -6 ; which is correct.
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[D]:  " (-5, -1) " ;  is INCORRECT.

 since when "x = -5" and "y = -1 ;

then:  -1 > 6 ; which is INCORRECT. 
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