
Concept explainers
State the meaning of {x: –4 < x ≤ 10}. Express the set {x: –4 < x ≤ 10} using interval notation and draw it on a number line.

To state: The meaning of the given set.
Explanation of Solution
The given set is
From the given set, observe that the value of x will not satisfy the point
Also, note that x satisfies all the points to the right of
Thus, the given set can be expressed in the interval notation as
Plot the given set in the form of a number line as shown below.
From Figure 1, it can be concluded that the dark shaded region is the region of the given set.
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