what is the greatest possible value for m such that 5m-3>8m+21...PLEASE HELP

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what is the greatest possible value for m such that 5m-3>8m+21...PLEASE HELP

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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so how do we start do u have any idea :)
first, we will solve for m 5m - 3 > 8m + 21 -- subtract 5m from both sides -3 > 8m - 5m + 21 -- subtract 21 from both sides -21 - 3 > 8m - 5m -- combine like terms -24 > 3m -- divide both sides by 3 -24/3 > m - 8 > m or m < -8 so if m is less then -8....then the greatest possible value for m is -7

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