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3z+3≤z−53𝑧+3≤𝑧−5Step 1 of 2: Write the solution using interval notation.

Question

3z+3≤z−53𝑧+3≤𝑧−5Step 1 of 2: Write the solution using interval notation.

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Solution

The given inequality is 3z + 3 ≤ z - 5.

Step 1: We need to isolate z. We can start by subtracting z from both sides to get:

2z + 3 ≤ -5

Step 2: Then, subtract 3 from both sides to get:

2z ≤ -8

Step 3: Finally, divide both sides by 2 to solve for z:

z ≤ -4

So, the solution in interval notation is (-∞, -4].

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