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Can someone solve this quick? i wanna check if i solved it correctly

Can someone solve this quick? i wanna check if i solved it correctly-example-1
User Pedromss
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2 Answers

6 votes
Yes it is correct but why do u want it quickly
User Jorg Janke
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3 votes

Answer:
x \le 9

x is less than or equal to 9

on a keyboard you would write x <= 9

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Step-by-step explanation:

We have a closed circle at x = 9. This means we include this endpoint as part of the shaded region. We will have "or equal to" as part of the inequality sign.

We also have "less than" as part of the inequality sign since we shade to the left. Values in the shaded region (eg: 2, 3, and 4) are either less than 9 or equal to 9.

So that's why the graph represents
x \le 9

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Extra info:

If you want to write that in interval notation, then you would say
(-\infty, 9]

The curved parenthesis says to exclude the endpoint. We can't ever reach infinity so we cannot possibly include it as a number.

The square bracket says to include the endpoint.

User Pierre Chambart
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4.3k points