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

X greater than/equal to 600 and X less than/equal to 2400

Answer 2

`600 \leq x \leq 2400`

Explanation:

We are given the the following information in the question:

Minimum SAT score = 600

Maximum SAT score = 2400

Let x represent the SAT score of a student. Since x are scores they can never be negative.

Thus, it can be written that:

`x \geq 600\\x \leq 2400`

The absolute value function can be written as:

`\mid a \mid = a, a>0\\~~~~~=-a, a < 0`

The absolute value equation for this scenario can be written as:

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

Since x is always positive in this case,

`600 \leq x \leq 2400`