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Solve for zz.\newline11(z−15)>−1111(z - 15) > -11

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Full solution

Q. Solve for zz.\newline11(z−15)>−1111(z - 15) > -11
  1. Distribute 1111: question_prompt: Solve for zz in the inequality 11(z−15)>−1111(z - 15) > -11.
  2. Simplify left side: Distribute 1111 to both terms inside the parentheses: 11×z−11×15>−1111 \times z - 11 \times 15 > -11.
  3. Add 165165: Simplify the left side: 11z−165>−1111z - 165 > -11.
  4. Simplify inequality: Add 165165 to both sides to isolate the zz term: 11z−165+165>−11+16511z - 165 + 165 > -11 + 165.
  5. Divide by 1111: Simplify the inequality: 11z>15411z > 154.
  6. Divide by 1111: Simplify the inequality: 11z>15411z > 154. Divide both sides by 1111 to solve for zz: z>15411z > \frac{154}{11}.

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