Solve the inequality for z: z + 7 ≥ 23
Understand the Problem
The question asks to solve the inequality $z + 7 \geq 23$ for the variable $z$. This involves isolating $z$ on one side of the inequality to find the range of values for $z$ that satisfy the inequality. The final answer should be simplified as much as possible.
Answer
$z \geq 16$
Answer for screen readers
$z \geq 16$
Steps to Solve
-
Isolate $z$ To isolate $z$, subtract $7$ from both sides of the inequality: $$ z + 7 - 7 \geq 23 - 7 $$
-
Simplify Simplify both sides of the inequality: $$ z \geq 16 $$
$z \geq 16$
More Information
The solution to the inequality $z + 7 \geq 23$ is $z \geq 16$. This means any value of $z$ that is greater than or equal to 16 will satisfy the original inequality.
Tips
A common mistake is to add 7 to both sides instead of subtracting. Remember to perform the inverse operation to isolate the variable.
AI-generated content may contain errors. Please verify critical information
