SOLUTION: which quadrants does the inequality have solutions y>3|x|+1 A 1,2,3,4 B 1,2 C 1,3,4 D 1

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Question 1124833: which quadrants does the inequality have solutions y>3|x|+1
A 1,2,3,4
B 1,2
C 1,3,4
D 1
Found 2 solutions by ikleyn, greenestamps:
Answer by ikleyn(52777)   (Show Source): You can put this solution on YOUR website!
.
The values for "y" are positive;


the domain for "x" is the entire number line.



==================>  The quadrants are 1 and 2  ==========>  Option B.


Answer by greenestamps(13198)   (Show Source): You can put this solution on YOUR website!


|x| is always 0 or positive; so
3|x| is always 0 or positive; so
3|x|+1 is always positive

So the graph of the EQUATION y = 3|x|+1 is always above the x-axis, which means it is never in quadrants III or IV.

And then since the graph of y = 3|x|+1 is never in quadrants III or IV, the graph of the inequality y > 3|x|+1 is also never in quadrants III or IV.

Finally, there are no restrictions on the value of x, so x can be either positive or negative (or 0); so the graphs of the equation AND the inequality are in both quadrants I and II.

Answer B.
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