Answer :

This situation is represented by the following disjoint inequality:

[tex]m > -\frac{23}{3} \cup m \leq -10[/tex]

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  • The format of a disjoint inequality is:

[tex]x > a \cup x \leq b[/tex]

  • Which is read as: x is more than a or at most b.

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  • In this question, we have number m more than [tex]-7\frac{2}{3} = -7 - \frac{2}{3} = -\frac{21}{3} - \frac{2}{3} = -\frac{23}{3}[/tex] and at most -10, thus, the disjoint inequality that represents this situation is:

[tex]m > -\frac{23}{3} \cup m \leq -10[/tex]

A similar problem is given at https://brainly.com/question/24528399

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