littlechxchie littlechxchie
  • 22-01-2020
  • Mathematics
contestada

Which expression is equivalent to |b|>2 ?


b > –2 and b < 2


b < –2 or b > 2


b < –2 and b > 2


b > –2 or b < 2

Respuesta :

kudzordzifrancis
kudzordzifrancis kudzordzifrancis
  • 03-02-2020

Answer:

b < –2 or b > 2

Step-by-step explanation:

The given expresion is

[tex] |b| \: > \: 2[/tex]

By the definition of absolute value function.

|x|=x, if x>0

|x|=-x, if x<0

This implies that:

[tex] b \: > \: 2 \: or \: - b \: > \: 2[/tex]

Divide the second inequality by -2 and reverse the sign

[tex]b \: > \: 2 \: or \: b \: < \: - 2[/tex]

Option B is correct

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