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Algebra 7 Online
OpenStudy (jamarthomas20):

Solve the inequality. |x + 5| > 12

OpenStudy (5sos):

DO you know what the |x+5| means?

OpenStudy (amorfide):

|dw:1477580820001:dw| |x|=x |-x|=x this means that for any answer that when y=x+5 is negative, meaning when y is negative, you reflect in the x axis this makes the graph of y=|x+5| |dw:1477580914061:dw| notice that in doing this, you get two graphs, one where y=x+5 and another where y=-(x+5) since these both cross y=12, you can do simultaneous equations to get y=x+5 y=12 so we get 12=x+5 rearrange for x to get 12-5=x, x=7 and then y=-(x+5) y=12 so 12=-(x+5) 12=-x-5 x=-5-12 x=-17 so now you know that when x=7, y=12 and when x=-17, y=12 |dw:1477581152109:dw| so you know that |x+5|>12 when x is in those shaded regions so you get x<-17 or x>7

OpenStudy (imtant):

\[\left| x+5 \right|\] The x value must be in positive.

OpenStudy (oliviadaae):

\[\left| x+5 \right|\] anything within those bars will be automatically made positive, even if it is negative. Whatever number you put in for as x must make the equation at least 13 or higher. So the smallest number you'll be able to put in would be 8. Hope this helped!

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