Question #186214

let P(x) denote the statement "x-3>5" . What are the truth values? P(2) P(8) P(9)


1
Expert's answer
2021-05-06T16:13:28-0400

Let P(x)P(x) denote the statement " x3>5x-3>5 " . Since 23=1<52-3=-1<5, we conclude that P(2)P(2) is false. Taking into account that 83=58-3=5, we conclude that P(8)P(8) is false. Since 93=6>59-3=6>5, we conclude that P(9)P(9) is true.


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