# Cierra has 3 more than one half as many purses as Aisha. Define a variable and write an expression to represent the number of purses in Cierra's collection. Then find the number of purses in Cierra's collection if Aisha has 12 purses?

Cierra has 9 purses.

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Let ( x ) represent the number of purses in Aisha's collection.

The expression to represent the number of purses in Cierra's collection is ( \frac{1}{2}x + 3 ).

If Aisha has 12 purses, then ( x = 12 ).

Substitute ( x = 12 ) into the expression for Cierra's purses: ( \frac{1}{2}(12) + 3 = 6 + 3 = 9 ).

So, Cierra has 9 purses in her collection.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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