OESet up the initial comparison:
7w - 4 ? 2w + 5
Then simplify:
Step 1: Subtract 2w from both sides and add 4 to both sides to get 5w ? 9
Step 2: Divide both sides by 5 to get w ? 9/5
The comparison cannot be simplifed any further. Although you are given that w > 1, you still don’t know how w compares to 9/5, or 1.8. For example, if w = 1.5, then w < 1.8, but if w = 2, then w > 1.8. In other words, the relationship between w and 9/5 cannot be determined.
Note that each of these simplifcation steps is reversible, so in reverse order, each simplifcation step implies that the relationship cannot be determined in the preceding comparison. Tus the relationship between Quantities A and B cannot be determined.
The correct answer is Choice D, the relationship cannot be determined from the information given.