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Solve for rr.3(r + 7) + 7 < 1

Full solution

Q. Solve for rr.3(r+7)+7<13(r + 7) + 7 < 1
  1. Distribute 33: question_prompt: Solve for rr in the inequality 3(r + 7) + 7 < 1.
  2. Combine like terms: Distribute 33 into (r+7)(r + 7). 3(r) + 3(7) + 7 < 1.
  3. Add constants: Combine like terms. 3r + 21 + 7 < 1.
  4. Subtract 2828: Add 2121 and 77 together. 3r + 28 < 1.
  5. Calculate difference: Subtract 2828 from both sides to isolate the variable term. 3r < 1 - 28.
  6. Divide by 33: Calculate 1281 - 28. 3r < -27.
  7. Calculate result: Divide both sides by 33 to solve for rr. r < -\frac{27}{3}.
  8. Calculate result: Divide both sides by 33 to solve for rr. r < -27 / 3. Calculate 27/3-27 / 3. r < -9.

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