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Write and graph an inequality for the given solution set.
{x∣x<7}

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Final answer:

The inequality that represents the given solution set {x∣x<7} is x<7. The graph of the inequality can be plotted on a number line by using an open circle at the point 7 and shading to the left.

Step-by-step explanation:

The solution set {x∣x<7} represents all values of x that are less than 7. To write this as an inequality, we can use the '<' symbol. So the inequality is x<7. To graph this inequality, we can plot all the values of x that are less than 7 on a number line. We use an open circle at the point 7 and shade to the left, indicating that any value less than 7 is a solution to the inequality.

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