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3 years ago

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Jim is two years older than his sister Mary. The sum of their ages is greater than 32. Describe Mary’s age. Create and inequalit

y for this situation

1 answer:

-Dominant- [34]3 years ago

4 0

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.

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we have

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In this problem

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Rewrite as perfect squares

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remember that

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Step-by-step explanation:

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$(n-4)(n-6) = n^2-10n+24\\\\(a+5)(a-6) = a^2 -a-30\\\\(4b + 6)(b-4) = 4b^2 -10b-24$

<em><u>Solution:</u></em>

<em><u>Multiplying polynomials:</u></em>

Multiplying polynomials is same like multiplying numbers

First, multiply the first term in the first parentheses by all the terms in the second parentheses

Now we multiply the second term in the first parentheses by all terms in the second parentheses and add them to the previous terms

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<em><u>Now let us multiply the second given option</u></em>

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Multiply them together

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<em><u>Now let us multiply the third given polynomial</u></em>

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