Solve the inequality −8 − (−1)s > 1 — step-by-step algebra explanation

Step-by-step solution of the inequality −8 − (−1)s > 1 with explanation and checks. Shows how to simplify, isolate s, and verifies the solution. Also notes an alternative interpretation if the original expression was different.

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Interpretation: I will interpret the expression as −8 − (−1)s > 1, which is equivalent to −8 + s > 1. (If you meant something else, see the note at the end.)

  1. Start with the inequality: −8 − (−1)s > 1.
  2. Simplify the double negative: −(−1)s = +s, so the inequality becomes −8 + s > 1.
  3. Isolate s by adding 8 to both sides: (−8 + s) + 8 > 1 + 8, so s > 9.
  4. Check a value greater than 9, for example s = 10: substitute into the original form −8 + s = −8 + 10 = 2, and 2 > 1 is true. So the solution s > 9 is correct.

Solution: s > 9

Note: If the intended expression was instead −8 − 1s > 1 (that is, −8 − s > 1), the steps change: −8 − s > 1 ⇒ −s > 9 ⇒ multiply both sides by −1 (reverse inequality) ⇒ s < −9. If your original problem looks different, tell me the exact characters and I will solve that version.

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