Question

Verify that each of the following statements is a false statement by finding a counterexample for each.

1. xx=1
2. x+33=x+1
3. x2+16=x+4

Answer 1

1. Let x=0, then $0(0) \not =1$

So xx=1 is false

2. Let x=1, then $1+33 \not= 1+1 \\ 34 \not=2$

So x+33=x+1 is false

3. Let x=1

$1^2+16 \not=1+4\\ 17 \not=5$

So x²+16=x+4 is false.