Solve for z. 1 - -2z ≤ 7 ______

Simplify the inequality: First, we need to simplify the inequality by removing the double negative next to z. 1 - (-2z) ≤ 7 1 + 2z ≤ 7 Isolate the variable term: Next, we isolate the variable term by subtracting 1 from both sides of the inequality. 1 + 2z - 1 ≤ 7 - 1 2z ≤ 6 Solve for z: Now, we solve for z by dividing both sides of the inequality by 2. 2z / 2 ≤ 6 / 2 z ≤ 3

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Solve for $z$ . $\newline$ $1 - -2z \leq 7$

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Math Problems

Algebra 1

Solve two-step linear inequalities

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Q. Solve for

z

\newline

1 - -2z \leq 7

Simplify the inequality: First, we need to simplify the inequality by removing the double negative next to $z$ . $1 - (-2z) \leq 7$ $1 + 2z \leq 7$
Isolate the variable term: Next, we isolate the variable term by subtracting $1$ from both sides of the inequality. $1 + 2z - 1 \leq 7 - 1$ $2z \leq 6$
Solve for z: Now, we solve for z by dividing both sides of the inequality by $2$ . $\newline$ $\frac{2z}{2} \leq \frac{6}{2}$ $\newline$ $z \leq 3$