Which of the following points is a solution of the inequality y < -|x|?
(1, -2)
(1, -1)
(1, 0)
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OpenStudy (anonymous):
ranga!!
OpenStudy (anonymous):
so its (1,0)
OpenStudy (ranga):
Substitute each pair of x, y and see which one makes the inequality true.
OpenStudy (anonymous):
i believe its (1,0) when you substitute
OpenStudy (ranga):
In the first answer, x = 1, y = -2
Put that in the inequality. -2 < -|1| or -2 < -1
Is this true?
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OpenStudy (ranga):
If -2 < -1 is true then the answer is the first choice.
OpenStudy (anonymous):
@ranga is right
OpenStudy (ranga):
-2 < -1 is true
So the answer is (1, -2)
OpenStudy (anonymous):
@ranga yoour good
OpenStudy (ranga):
Thanks.
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OpenStudy (anonymous):
you welcom man
OpenStudy (ranga):
If you try the second and third choice you will find the inequality to be false and so they are the wrong answers.
Try the second choice (1, -1)
x = 1, y = -1 in y < -|x|
-1 < -1 which is false and so the second choice is wrong
Try the third choice (1, 0)
x = 1, y = 0 in y < -|x|
0 < -1 which is false and so the third choice is wrong
Please close the question if it has been answered satisfactorily.