Question

Which inequality has the solution shown below?

H + 0.43 < 1
a) 0.2c + 5 > 2
b) 0.32 + 8 < 3
c) 0.50 + 6 > 3
d) 0.43 + 7 < 1

Answer 1

The inequality that matches the given solution H + 0.43 < 1, considering the potential typo in the provided options, is option (d) 0.43 + 7 < 1, which is likely intended to be H + 0.43 < 1.

Step-by-step explanation:

The student is asking which inequality corresponds to a given solution set. Since the solution they provided is H + 0.43 < 1, we look at the options they've given and try to match the one that fits this solution structure.

The correct option that matches this structure is (d) 0.43 + 7 < 1. However, when we evaluate 0.43 + 7, we get 7.43, which is not less than 1. This tells us there might be a typo in the question, and likely the inequality from the student's options is meant to be 0.43 + H < 1, which is a typo in the given option (d). The correct inequality should be having a variable added to 0.43 to compare it with 1, as seen with the letter H in the provided solution.

Therefore, if we consider the typo in the student's options, the answer is option (d), assuming it's meant to be H + 0.43 < 1.