Question

Despite popular belief, investigators have gotten a tip that the Loch Ness Monster is actually being kept as a pet in a Scottish Hotel (rooms numbered -10 to 10). Four specially-trained monster hunters checked different rooms. None of them found Nessie. Through process of elimination, figure out where the Nessie must be hiding. 1) x + 4 < 3 2) x 5 > 1 3) 2x + 3 > 11 4) -3x > -9 Which room must Nessie by hiding in?

Answer 1

Answer:

room 3 or 4

Explanation:

We assume the inequalities tell the rooms that were checked and found empty.

The solution to 3) is ...

... 2x + 3 > 11

... 2x > 8 . . . . . subtract 3

... x > 4 . . . . . . .divide by 2

The solution to 4) is ...

... -3x > -9

... x < 3 . . . . . . divide by -3

Thus, rooms greater than 4 and less than 3 were found empty. Rooms 3 and 4 were not checked, so either one could hold Nessie.

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The other inequalities have solutions that are already covered by the solutions to these.

1) x < -1 . . . . after subtacting 4

2) x > 5 . . . . after multiplying by 5