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On a graphed number line what is 2 less than x less than 4

User Ghola
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Graph on a number line: open circles at 2 and 4, line segment between, represents x.

The set notation 2 less than x less than 4 represents the set of all real numbers x that satisfy the inequality 2 < x < 4. This notation describes an open interval between 2 and 4 on the number line, excluding the endpoints.

To graph this on a number line:

1. Locate the point representing 2 and mark it with an open circle to indicate that it is not included in the set.

2. Similarly, locate the point representing 4 and mark it with an open circle as it's also not included.

3. Draw a line segment between these points to represent all the numbers greater than 2 and less than 4.

In the notation 2 less than x less than 4, the inequality 2 < x < 4specifies that the set includes all real numbers x that are greater than 2 but less than 4. Therefore, any value between 2 and 4 but not including 2 and 4 themselves would be part of this set.

Visually, the graphed number line would show an open interval starting at 2 (excluded) and ending at 4 (excluded), indicating the range of numbers satisfying the inequality 2 < x < 4. The shaded segment between 2 and 4 would represent the set x on the number line.

On a graphed number line what is 2 less than x less than 4-example-1
User Kuntady Nithesh
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