Respuesta :
We calculate the expressions [tex] x^{2} [/tex] and [tex]x+1[/tex]
for each of -5, 0, 12 and 7 to see whether the inequality holds:
for x=-5, [tex] x^{2}=(-5)^2=25 [/tex]
for x=-5 [tex]x+1=-5+1=-4[/tex]
the inequality holds,
for x=0, [tex] x^{2}=(0)^2=0 [/tex]
for x=0 [tex]0+1=1[/tex]
1 is not larger that 0, so x=0 is an counterexample that
[tex]x^2[/tex] is not larger than [tex]x+1[/tex] for all integers.
Answer: 0
for each of -5, 0, 12 and 7 to see whether the inequality holds:
for x=-5, [tex] x^{2}=(-5)^2=25 [/tex]
for x=-5 [tex]x+1=-5+1=-4[/tex]
the inequality holds,
for x=0, [tex] x^{2}=(0)^2=0 [/tex]
for x=0 [tex]0+1=1[/tex]
1 is not larger that 0, so x=0 is an counterexample that
[tex]x^2[/tex] is not larger than [tex]x+1[/tex] for all integers.
Answer: 0
