In Example 2, change the > to 5. By using Eq. (17.1), we have 2x 1
Question:
In Example 2, change the > to <, solve the resulting inequality, and graph the solution.
Data from Example 2
Solve the inequality |2x − 1| > 5.
By using Eq. (17.1), we have 2x − 1 < −5 or 2x − 1 > 5 Completing the solution, we have
This means that the given inequality is satisfied for x < −2 or for x > 3. [We must be very careful to remember that we cannot write this as 3 < x < −2.] The solution is shown in Fig. 17.31.
The meaning of this inequality is that the numerical value of 2x − 1 is greater than 5. By considering values in these intervals, we can see that this is true for values of x less than −2 or greater than 3.
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Related Book For
Basic Technical Mathematics
ISBN: 9780137529896
12th Edition
Authors: Allyn J. Washington, Richard Evans
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