Jim is two years older than his sister Mary. The sum of their ages is greater than 32. Describe Mary's age. Create and inequality for this situation

Question

Mathematics

Jessie Diaz

23 February, 21:57

Jim is two years older than his sister Mary. The sum of their ages is greater than 32. Describe Mary's age. Create and inequality for this situation

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Miguel Allison · Answer 1

Let the two ages be j and m, respectively. Then j+m>32.

Solving for Mary's age, we get m > 32 - j. Because j = m + 2, m > 32 - (m+2).

Continue solving for m: Adding m to both sides of this inequality results in

2m > 32 - 2. Then 2m > 30, and m > 15. Mary's age is greater than 15.