In Example 2, change the to 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 2 x 4 or 2x 6 x 3

Question: In Example 2, change the > to 5. By using Eq. (17.1), we have 2x 1 < 5 or 2x 1 > 5

In Example 2, change the > to

Data from Example 2

Solve the inequality |2x − 1| > 5.
By using Eq. (17.1), we have 2x − 1 5 Completing the solution, we have

2.x < 4 or 2x > 6 x 3

This means that the given inequality is satisfied for x 3. [We must be very careful to remember that we cannot write this as 3

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.

2.x < 4 or 2x > 6 x 3

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