Mustafa heloise and gia have written more than a combined total of 22 articles for the school newspaper. heloise has written 1/4 has written articles as mustafá has gia has written 3/2 as many written articles as mustafá has

 The required inequality is and its solution is

Step-by-step explanation:  Given that Mustafa, Heloise, and Gia have written more than a combined total of 22 articles for the school newspaper.

Also, Heloise has written as many articles as Mustafa has and Gia has written as many articles as Mustafa has.

We are to write an inequality to determine the number of articles, m, Mustafa could have written for the school newspaper.  Also, to solve the inequality.

Since m denotes the number of articles that Mustafa could have written. Then, according to the given information, we have

And the solution of the above inequality is as follows :

Thus, the required inequality is and its solution is

If we know Mustafa, Heloise, and Gia have written more than a combined total of 22 articles, this can be written as:

   (1)

Now, we are asked to determine the number of articles Mustafa could have written. So, firstly we have to write the following relations:

Heloise has written 1/4 as many articles as Mustafa has

   (2)

Gia has written 3/2 as many articles as Mustafa has:

   (3)

Then, we have to substitute the values of the equations (2) and (3) in equation (1):

And find the amount of articles Mustafa could have written:

Finally:

  This is the amount of articles Mustafa could have written

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

x>8

Step-by-step explanation:

Articles written by Mustafa = 8

Step-by-step explanation:

Let the number of articles written by Mustafa = M

Articles written by Heloise (H) = (1/4)M   (1)

&

Articles written by Gia (G) = (3/2) M  ... (2)

Total articles written by all three combined is given as 22

∴ M + H + G = 22

Putting values of H and G in terms of M from eq 1 and 2, we get

M + (1/4)M + (3/2)M = 22

∴ M + 0.25M + 1.5M = 22

∴2.75 M = 22

∴ M = 22/2.75

∴ M = 8

Articles written by Mustafa = 8

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

Step-by-step explanation:

solution set: m>8