Solve for z. -2 ≤ z - 2/2 ______

Multiply by 2: First, we need to isolate z in the inequality -2 ≤ z - 2/2. To do this, we will multiply both sides of the inequality by 2 to eliminate the fraction. Calculation: -2 * 2 ≤ (z - 2/2) * 2Simplify inequality: After multiplying both sides by 2, we simplify the inequality. Calculation: -4 ≤ z - 2Add 2: Next, we will add 2 to both sides of the inequality to solve for z. Calculation: -4 + 2 ≤ z - 2 + 2Final solution: Simplifying the inequality after adding 2 to both sides gives us the final solution. Calculation: -2 ≤ z

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Solve for $z$ . $\newline$ $-2 \leq \frac{z - 2}{2}$

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Algebra 1

Solve advanced linear inequalities

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Q. Solve for

z

\newline

-2 \leq \frac{z - 2}{2}

Multiply by $2$ : First, we need to isolate $z$ in the inequality $-2 \leq z - \frac{2}{2}$ . To do this, we will multiply both sides of the inequality by $2$ to eliminate the fraction. $\newline$ Calculation: $-2 \times 2 \leq (z - \frac{2}{2}) \times 2$
Simplify inequality: After multiplying both sides by $2$ , we simplify the inequality. $\newline$ Calculation: $-4 \leq z - 2$
Add $2$ : Next, we will add $2$ to both sides of the inequality to solve for $z$ . $\newline$ Calculation: $-4 + 2 \leq z - 2 + 2$
Final solution: Simplifying the inequality after adding $2$ to both sides gives us the final solution. $\newline$ Calculation: $-2 \leq z$