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Solve for qq.\newline7≥3−q7 \geq 3 - q

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Solve two-step inequalitiesright chevron icon

Full solution

Q. Solve for qq.\newline7≥3−q7 \geq 3 - q
  1. Isolate qq in the inequality: Step 11: Start by isolating qq in the inequality 7≥3−q7 \geq 3 - q. Add qq to both sides to get q+7≥3q + 7 \geq 3.
  2. Solve for q: Step 22: Subtract 77 from both sides to solve for q.\newlineq≥3−7q \geq 3 - 7,\newlineq≥−4q \geq -4.
  3. Verify the solution: Step 33: Check if the solution makes sense.\newlineSubstitute q=−4q = -4 back into the original inequality to verify:\newline7≥3−(−4)7 \geq 3 - (-4),\newline7≥77 \geq 7, which is true.

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