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Solve the inequality. z-2.4 >= -0.6 The solution is ◻ Graph the solution.

Solve the inequality.\newlinez−2.4≥−0.6z-2.4 \geq -0.6\newlineThe solution is \newline□\square\newlineGraph the solution.

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Full solution

Q. Solve the inequality.\newlinez−2.4≥−0.6z-2.4 \geq -0.6\newlineThe solution is \newline□\square\newlineGraph the solution.
  1. Isolate z: Step 11: Isolate z in the inequality z−2.4≥−0.6z - 2.4 \geq -0.6. Add 2.42.4 to both sides to isolate z. z−2.4+2.4≥−0.6+2.4z - 2.4 + 2.4 \geq -0.6 + 2.4 z≥1.8z \geq 1.8
  2. Check solution: Step 22: Check the solution by substituting a value greater than 1.81.8 for zz. Let's use z=2z = 2. 2−2.4≥−0.62 - 2.4 \geq -0.6 −0.4≥−0.6-0.4 \geq -0.6, which is true.
  3. Graph on number line: Step 33: Graph the solution on a number line. Draw a number line, mark the point 1.81.8, and shade to the right, including 1.81.8 with a closed circle because the inequality includes equality (≥\geq).

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