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.