While training for a marathon, Sean runs at least 28 miles a week. He has already ran 6 miles this week. The inequality shown can be used to find m, the number of miles Sean still needs to run this week. m + 6 ≥ 28 Which inequality represents the solution set for this situation? A) m ≥ 22 B) m ≤ 22 C) m ≤ 34 D) m ≥ 34

Respuesta :

That would be B ) m >= 22

Explanation : Just l like a normal equation , we need to isolate the variable to get its value. We can do that by simply substracting 6 from both sides of the equation :
m + 6 >= 28
m + 6 - 6 >= 28 - 6
6 - 6 cancel out so we end up with
m >= 22

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Answer: A) m ≥ 22

Step-by-step explanation:

Hi, to answer this question we simply have to solve the inequality given for m (miles ran per week).

m + 6 ≥ 28  

Subtracting 6 from both sides:

m+6-6 ≥ 28 -6

m ≥ 22

Sean still needs to run 22 miles this week.

So, the correct option is A) m ≥ 22

Feel free to ask for more if needed or if you did not understand something.