any help? Find the range of possible values for x. ***will draw triangles***

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any help? Find the range of possible values for x. ***will draw triangles***

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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|dw:1353985451040:dw|
the length 6x+3 is opposite the larger angle so 4x+12 < 6x+3
also, if you update the drawing, you get |dw:1353986053883:dw|

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so we can say that 32 - 21 < 4x+12 < 32+21 and we can say 32 - 21 < 6x+3 < 32+21
how do you find the rang from that though? @jim_thompson5910

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