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M,H, and G have written more than a combined total of 22 articles. H has written 1/4 as many as M. G has written 3/2 as M. Write an inequality

Sagot :

MrRoyalidn

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]

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