Solve the inequality for z: 25 < z - 2
Understand the Problem
The question asks us to solve the given inequality for the variable 'z'. This involves isolating 'z' on one side of the inequality to find the range of values that 'z' can take.
Answer
$z > 27$
Answer for screen readers
$z > 27$
Steps to Solve
- Isolate $z$ by adding 2 to both sides of the inequality
To isolate $z$, we add 2 to both sides of the inequality to get rid of the -2 on the right side: $25 + 2 < z - 2 + 2$
- Simplify both sides of the inequality
Simplifying both sides gives: $27 < z$
So the solution to the inequality is $27 < z$, which can also be written as $z > 27$.
$z > 27$
More Information
The solution $z > 27$ means that any value of $z$ greater than 27 will satisfy the original inequality $25 < z - 2$.
Tips
A common mistake is to perform the incorrect operation to isolate the variable. In this case, some might subtract 2 from both sides instead of adding 2. Another common mistake could be incorrectly simplifying the inequality after performing the correct operation.
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