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4. Rephrase the following statements in standard "if.. then" form:

(a) "We are buying a new TV only if the old TV breaks down."

(b) "In the United States, a good credit score is necessary for obtaining a loan."

(c) Unless you make me a better offer, I will keep my current job.

(d) The observation of faster than light travel would be sufficient reason to question relativity theory.

User Tim Murray
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2 Answers

5 votes

Final answer:

Conditional statements, often structured in "if... then" form, express logical relationships between propositions. The provided statements have been reformulated as clear conditionals, preserving their logical meaning.

Step-by-step explanation:

The statements provided by the student can be rephrased in standard "if... then" form as follows:

  1. If the old TV breaks down, then we are buying a new TV.
  2. If you want to obtain a loan in the United States, then a good credit score is necessary.
  3. If you do not make me a better offer, then I will keep my current job.
  4. If we observe faster than light travel, then that would be a sufficient reason to question relativity theory.

These rephrased statements maintain the same logical meaning but are now in the clear structure of conditionals that indicate a cause-and-effect relationship.

User Apurva Mulay
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5.1k points
3 votes

Answer:

See step-by-step explanation.

Step-by-step explanation:

a) If the old TV breaks down then we are buying a new TV.

b) If you have a good credit score in the United States, then you obtain a loan.

c) If you don't make me a better offer then I will keep my current job.

d) If we observe faster than light travel then we would question relativity theory.

User Emd
by
5.1k points
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