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Given that x is an integer, Kelvin conjectured that x^2>x+1 .

Which value is a counterexample to Kelvin's conjecture?

−5

0

12

7

User Karandeep
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2 Answers

1 vote

Answer:

The correct anwser is 0

Explanation:

took the test

User Henrique Ferrolho
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8.1k points
3 votes
We calculate the expressions
x^(2) and
x+1

for each of -5, 0, 12 and 7 to see whether the inequality holds:



for x=-5,
x^(2)=(-5)^2=25

for x=-5
x+1=-5+1=-4

the inequality holds,




for x=0,
x^(2)=(0)^2=0

for x=0
0+1=1

1 is not larger that 0, so x=0 is an counterexample that

x^2 is not larger than
x+1 for all integers.


Answer: 0
User Charlires
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7.9k points