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Which of the following number lines represents the graph of the inequality 4>−y?

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Answer: You didn't show the number lines, but the inequality shown can be simplified to:

-4 < y

The number line would have a closed circle at the point representing -4 (the closed circle shows that -4 is not included) and it would extend in the positive direction (to the right) onward to infinity.

Explanation:

4 > -y

4 > (-1)(y)

Divide both sides by -1. When dividing both sides of an inequality by a negative, flip the inequality.

-4 < y

Rearrange

y > -4.

User Bimal Das
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