−2z−2≥−6−2𝑧−2≥−6Step 1 of 2 :  Write the solution using interval notation.

The given inequality is -2z - 2 ≥ -6.

Step 1: First, we need to isolate z. We can start by adding 2 to both sides of the inequality to get rid of -2 on the left side.

-2z - 2 + 2 ≥ -6 + 2

This simplifies to:

-2z ≥ -4

Step 2: Then, we divide both sides by -2 to solve for z. Remember, when we divide or multiply both sides of an inequality by a negative number, the direction of the inequality sign changes.

-2z / -2 ≤ -4 / -2

This gives us:

z ≤ 2

So, the solution in interval notation is (-∞, 2]. This means that z is less than or equal to 2.