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Question

The inequality |2x - 5 > 8 can be written as which two inequalities?

Answer

Which values of x make 2x - 5 less than -8 or greater than 8? Step-by-step explanation: We can rephrase this problem using absolute value inequalities. First, we write down the inequality using absolute value notation: |2x - 5| > 8. Next, we solve the inequality using the two possible cases: 2x - 5 < -8 or 2x - 5 > 8. For the first case, we add 5 to both sides of the inequality, giving 2x < -3. Dividing both sides by 2, we get x < -3/2. For the second case, we add 5 to both sides of the inequality, giving 2x > 13. Dividing both sides by 2, we get x > 13/2. Therefore, the values of x that make 2x - 5 less than -8 or greater than 8 are x < -3/2 or x > 13/2.