Missing part of the question:
Write an inequality to determine the number of articles, M could have written for the school newspaper.
Answer:
The inequality: [tex]11M > 88[/tex]
The solution: [tex]M > 8[/tex]
Step-by-step explanation:
Given
From the question, we have the following parameters:
[tex]M + H + G > 22[/tex]
[tex]H = \frac{1}{4}M[/tex]
[tex]G = \frac{3}{2}M[/tex]
Required
Determine the inequality to solve for M
Substitute the values for H and G in the inequality:
[tex]M + H + G > 22[/tex]
[tex]M + \frac{1}{4}M + \frac{3}{2}M > 22[/tex]
Multiply through by 4
[tex]4(M + \frac{1}{4}M + \frac{3}{2}M) > 22*4[/tex]
[tex]4M + M + 6M > 88[/tex]
[tex]11M > 88[/tex]
Divide both sides by 11
[tex]M > 8[/tex]
