Question

The minimum score on the SAT test is 600 and the maximum score is 2400. Write an absolute value equation that represents the minimum and maximum scores. Use x to represent the scores.

Answer 1

I think this is the answer because you can’t go lower than 600 but you can’t go over 2400

Answer 2

`\mid 600 \leq x \leq 2400 \mid`

Explanation:

The minimum SAT score = 600

The maximum SAT score = 2400

Let x represent score of a student. Since we know the maximum value is 2400 so x cannot be larger than 2400 and the minimum value is 600, so it cannot be less than 600.

This can be represented in the form of the equation:

`600 \leq x \leq 2400`

Now, the absolute value equation that represents the given situation is given by:

`\mid 600 \leq x \leq 2400 \mid`

This, equation have two interpretation:

a)
`600 \leq x \leq 2400`

b)
`-(600 \leq x \leq 2400)`

`= -600 \geq -x \geq -2400`