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If r is 3 less than twice t, which of the following is true?

User Tapan
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1 Answer

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r is always less than or equal to 2t - 3 because it's defined as 3 less than twice t. So, B. r ≤ 2t - 3 is the only true statement.

We know that r is 3 less than twice t. We can write this as an equation:

r = 2t - 3

Now, we need to analyze the answer choices to see which one is true based on this equation:

A. r ≥ 2t: This is not always true. For example, if t = 1, then r = 1 (which is less than 2).

B. r ≤ 2t - 3: This is always true. Since r is defined as 3 less than twice t, it will always be less than or equal to 2t - 3.

C. r = t - 3: This is not true. The equation states that r is 3 less than TWICE t, not simply t.

D. r < t - 3: This is not always true. Similar to A, if t = 1, then r = 1, which is not less than t - 3 (which would be -2).

Therefore, the only true statement is:

B. r ≤ 2t - 3.

This statement holds true regardless of the value of t.

Complete question should be:

If r is 3 less than twice t, which of the following is true?

A. r ≥ 2t

B. r ≤ 2t - 3

C. r = t - 3

D. r < t - 3

User Ovo
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7.5k points