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Sagot :
Let
m -----> the number of articles that Mustafa may have written for the School newspaper
h ----> the number of articles that Heloisa may have written for the School newspaper
g ----> the number of articles that Gia may have written for the School newspaper
so
The inequality that represents this situation is given by
[tex]m+h+g>22[/tex]and we have that
[tex]h=\frac{1}{4}m\text{ ----> equation 1}[/tex][tex]g=\frac{3}{2}m\text{ ----> equation 2}[/tex]substitute equation 1 and equation 2 in the above inequality
[tex]m+\frac{1}{4}m+\frac{3}{2}m>22[/tex]Solve for m
[tex]\begin{gathered} m+\frac{1}{4}m+\frac{3}{2}m\gt22 \\ \\ \frac{11}{4}m>22 \\ \\ 11m>88 \\ m>8 \end{gathered}[/tex]The answer is m>8
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