Mustafa, Heloise, and Gia have written more than a combined total of 22 articles for the school newspaper.

Heloise has written 1/4 as many articles as Mustafa has. Gia has written 3/2 as many articles as Mustafa has.

Write an inequality to determine the number of articles,m, Mustafa could have written for the school newspaper.

also What is the solution set of the inequality?

Question

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Respuesta :

polycraft19 polycraft19 · Answer 1 · 2021-03-14T19:10:28+01:00

Answer:

Inequality:

m + 1/4m + 3/2m > 22

Solution set:

m > 8

Step-by-step explanation:

it is the right answer on khan academy

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MrRoyal MrRoyal · Answer 2 · 2021-08-10T18:43:31+02:00

Inequalities are used to show expressions that has two unequal sides; in other words, it is the opposite of equalities.

The number of articles Mustafa could have written is greater than 8.

Represent each person with the first letters;

[tex]M \to Mustafa[/tex]

[tex]H \to Heloise[/tex]

[tex]G \to Gia[/tex]

So, we have:

[tex]M + H + G = 22[/tex]

[tex]H =\frac{1}{4}M[/tex]

[tex]G =\frac{3}{2}M[/tex]

Substitute [tex]H =\frac{1}{4}M[/tex] and [tex]G =\frac{3}{2}M[/tex] in [tex]M + H + G = 22[/tex]

[tex]M + \frac{1}{4}M + \frac{3}{2}M = 22[/tex]

The number of articles he could have written is:

[tex]M + \frac{1}{4}M + \frac{3}{2}M > 22[/tex]

Multiply through by 4

[tex]4M + M + 6M > 88[/tex]

[tex]11M > 88[/tex]

Divide by 11

[tex]M > 8[/tex]

Hence, the number of articles Mustafa could have written is greater than 8.