Final answer:
To write a compound inequality for the expression 52 - 2 < 13 + 2z, simplify the expression to 50 < 13 + 2z, subtract 13 from both sides, and divide by 2 to get z > 18.5.
Step-by-step explanation:
To write the compound inequality for the expression 52 - 2 < 13 + 2z, we first simplify the expression by subtracting 2 from 52. This gives us 50 < 13 + 2z. Next, we must isolate the variable z. To do this, we subtract 13 from both sides, resulting in 37 < 2z. Lastly, we divide both sides by 2 to solve for z, yielding z > 18.5.
Therefore, the compound inequality that represents the given expression is z > 18.5.
You can use an inequality symbol to show how two metric measurements are related. This problem is an example of how inequalities are used in mathematics to express the relationship between numbers.