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Express the solution set of the inequality x<=4

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Final answer:

The solution set x includes all real numbers less than or equal to 4 and is represented on the number line extending to the left from 4, including 4, which can be expressed in interval notation as [-∞, 4].

Step-by-step explanation:

The solution set of the inequality x represents the set of all real numbers x that are less than or equal to 4. When we express this solution set on a number line, we indicate all the numbers from negative infinity up to and including the number 4. It can also be shown graphically as a shaded line extending to the left from the number 4 and including the number 4, often depicted with a filled-in circle or a square bracket at the endpoint.

We can express the solution set in interval notation as [-∞, 4]. This indicates that the set includes every number up to 4, including 4 itself. Inequalities are used to show how two values or expressions are related, and in this case, it shows that any value x that is less than or equal to 4 is part of the solution set.

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