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Fiesta28 [93]
3 years ago
9

Georgia has a budget of $8 for a new notebook. She wants to spend within $5 of her budget, so she uses the equation 5 = |8 – x|

to find the maximum and minimum values. What are the solutions to the equation?
Mathematics
1 answer:
siniylev [52]3 years ago
5 0

Answer:

Minimum: 3

Maximum: 13

Step-by-step explanation:

Georgia uses the equation

5 = |8 – x| to find the maximum and minimum values.

We solve the equation for x.

5 =  |8 - x|

By the definition of the absolute value function, we must have:

- 5 = 8 - x \: or \: 5 = 8 - x

We subtract 8 from both sides to get:

- 5 - 8 =  - x \: or \: 5 - 8 =  - x

- 13 =  - x \: or \:  - 3 =  - x

This simplifies to:

13 =  x \: or \:  3 = x

Therefore the minimum value is 3 and maximum is 13

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