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help please i did a problem like this and got it wrong i honestly think im confusing the closed and open dots. can some one just please help​

help please i did a problem like this and got it wrong i honestly think im confusing-example-1

2 Answers

3 votes

Answer:

It should be a "closed" dot facing the left side (towards the negative numbers)

Explanation:

User Terminus
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5 votes

The graph will be a line segment with endpoints -1 and 1. Both endpoints are closed dots. This is to indicate we include the endpoints as part of the solution set. Everything between the endpoints is shaded in.

The answer in interval notation is [-1, 1]. The square brackets tell the reader to include the endpoints. This describes the interval from -1 to 1, inclusive of the endpoints.

How do we know to include the endpoints or not? By looking at the "or equal to" portion. If that is present, then we include the endpoint; otherwise, we exclude.

The original inequality
|x| \le 1 is the same as
-1 \le x \le 1

The general rule is
|x| \le k turns into
-k \le x \le k for some positive number k.

User JordanC
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