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Solve for zz.\newline5(z−2)≥−55(z - 2) \geq -5

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Full solution

Q. Solve for zz.\newline5(z−2)≥−55(z - 2) \geq -5
  1. Distribute and Simplify: First, distribute the 55 across the terms inside the parentheses.5(z−2)≥−55(z - 2) \geq -55z−10≥−55z - 10 \geq -5
  2. Isolate Variable Term: Next, isolate the variable term by adding 1010 to both sides of the inequality.\newline5z−10+10≥−5+105z - 10 + 10 \geq -5 + 10\newline5z≥55z \geq 5
  3. Divide to Solve: Finally, divide both sides of the inequality by 55 to solve for zz. \newline5z5≥55\frac{5z}{5} \geq \frac{5}{5}\newlinez≥1z \geq 1

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