Final answer:
The true inequalities when z = 20, from the given options, are A (4 > -12) and D (3 - 5 < 20 - 35) since they are the ones that evaluate as correct without additional information about z or x.
Step-by-step explanation:
The student is asking for the True Inequality when z = 20. We will evaluate each option separately.
- A. 4 > -12 is true because 4 is greater than -12.
- B. 2x < 24. To evaluate if this is true for z = 20, we would need an equation where z equals some function of x, which we do not have. Therefore, we cannot determine the truth of this statement based on the given information.
- C. 2 + 30 > 32 is false because 2 + 30 equals 32, and 32 is not greater than itself.
- D. 3 - 5 < 20 - 35 is true. Calculating both sides gives -2 on the left and -15 on the right, so indeed -2 is less than -15.
True inequalities for z = 20 based on the presented options are A and D.