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-19 < 5x + 6 < 26

Question

-19 < 5x + 6 < 26

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Solution

Sure, let's solve this compound inequality step by step.

  1. First, we'll solve the inequality "-19 < 5x + 6". To do this, we subtract 6 from both sides to isolate the term with x:

    -19 - 6 < 5x + 6 - 6

    -25 < 5x

  2. Then, we divide both sides by 5 to solve for x:

    -25/5 < 5x/5

    -5 < x

  3. Now, we'll solve the inequality "5x + 6 < 26". Again, we subtract 6 from both sides:

    5x + 6 - 6 < 26 - 6

    5x < 20

  4. And divide both sides by 5:

    5x/5 < 20/5

    x < 4

  5. So, the solution to the compound inequality "-19 < 5x + 6 < 26" is -5 < x < 4. This means that x is greater than -5 and less than 4.

This problem has been solved

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