Question

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

Answer 1

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:
`11M > 88`

The solution:
`M > 8`

Explanation:

Given

From the question, we have the following parameters:

`M + H + G > 22`

`H = (1)/(4)M`

`G = (3)/(2)M`

Required

Determine the inequality to solve for M

Substitute the values for H and G in the inequality:

`M + H + G > 22`

`M + (1)/(4)M + (3)/(2)M > 22`

Multiply through by 4

`4(M + (1)/(4)M + (3)/(2)M) > 22*4`

`4M + M + 6M > 88`

`11M > 88`

Divide both sides by 11

`M > 8`