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QUESTION 15 Write the first step in an indirect proof of the given statement. If 4x+17<42, then x < 6

Sagot :

Answer:

Step-by-step explanation:

So, our assumption is: x ≥ 6.

Now, we need to work towards a contradiction. If x ≥ 6, we can substitute this into the inequality 4x + 17 < 42 and show that it leads to a false statement.

Substitute x ≥ 6 into the inequality: 4(6) + 17 < 42.

Simplify: 24 + 17 < 42.

Then, 41 < 42.

Since 41 is indeed less than 42, this contradicts our assumption that x ≥ 6.

Therefore, we have shown that if 4x + 17 < 42, then x < 6 by leading to a contradiction.

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