Solve the following inequality by using the Addition Property of Inequalities. $$4 \leq z + 5$$ A) $z \geq - 1$ B) $z - 1$ C) $z \leq 5$ D) $z

Question

Solve the following inequality by using the Addition Property of Inequalities. $$4 \leq z + 5$$
A) $z \geq - 1$
B) $z > - 1$
C) $z \leq 5$
D) $z < - 1$
E) No solutions exist

Quizplus · Accepted Answer

Using the Addition Property of Inequalities, we can subtract 5 from both sides of the inequality to isolate the variable z:

$$4 - 5 \leq z + 5 - 5$$
$$- 1 \leq z$$

So the solution is:

$$z \geq - 1$$

Therefore, the best choice is A.

Solve the Following Inequality by Using the Addition Property of Inequalities