High School

Consider the interval [tex]-3.01 < x < -1.69[/tex].

Rewrite the interval using plus/minus notation.

Answer :

Final answer:

The interval −3.01 < x < −1.69 can be rewritten using plus/minus notation as x = -2.35 ± 0.66. We find this by first calculating the midpoint of the interval and then determining the range divided by 2.

Explanation:

To rewrite the interval −3.01 < x < −1.69 using plus/minus notation, we first need to find the midpoint of the interval. The midpoint is the average of the two extremes, which you can find by adding both numbers and then dividing by 2. So, (-3.01 + -1.69) / 2 = -2.35. Secondly, you determine the range/2, which is the difference between one extreme and the midpoint. Here, -1.69 - (-2.35) = 0.66. Therefore, the interval can be rewritten using plus/minus notation as: x = -2.35 ± 0.66.

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