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Mathematics 15 Online
OpenStudy (anonymous):

-3|2x+1|>9

OpenStudy (ybarrap):

-3|2x + 1| > 9 |2x + 1| < -3 not possible, since | 2x + 1| >= 0 and can never be negative. Ans. No solution

OpenStudy (anonymous):

Thank you.

OpenStudy (anonymous):

Can it be graphed on a number line though?

OpenStudy (anonymous):

nvm i guess not bye

OpenStudy (anonymous):

2x+1<-3 & 2x+1<3 -1 -1 -1 -1 2x< -4 2x< 2 /2 /2 /2 /2 x< -2 & x<1

OpenStudy (anonymous):

Use the one you need

OpenStudy (anonymous):

there is no solution though

OpenStudy (ybarrap):

@twignamanda |2x+1| < -3 means 3 < 2x + 1 < -3 2 < 2x < -4 1 < x < -2 So x < -2 AND x > 1 at once, which is impossible

OpenStudy (ybarrap):

Another way to see this is to imagine two functions y1 = 9 y2 = -3|2x + 1| can -3 ever be greater than 9 as when x = 1 ? Since there is at least one point where y2 is not greater than y1, then for all x, y2 is not greater than 9 y2 > y1 means for all x (in the domain) this is true, where obviously in the case above, we found one case where this is not.

OpenStudy (ybarrap):

http://www.wolframalpha.com/input/?i=-3 |2x%2B1|%3E9

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