emilyjnelson2 emilyjnelson2
  • 06-02-2018
  • Mathematics
contestada

Solve the open sentence. 8 < 2b OR 2b + 15 < 5 A. b > –3 OR b < 4 B. b > –1 OR b < 3 C. b < –2 OR b > 3 D. b > 4 OR b < –5 D?

Respuesta :

cael
cael cael
  • 06-02-2018
The correct answer is D. b > 4 or b < -5.
Answer Link
rejkjavik rejkjavik
  • 20-08-2018

We are given inequalities as

First inequalities:

[tex] 8<2b [/tex]

we will solve for b

[tex] 2b>8 [/tex]

divide both sides by 2

[tex] \frac{2b}{2} >\frac{8}{2} [/tex]

[tex] b>4 [/tex]

Second inequality:

[tex] 2b+15<5 [/tex]

we can solve for b

[tex] 2b+15-15<5-15 [/tex]

[tex] 2b<-10 [/tex]

Divide both sides by 2

[tex] \frac{2b}{2} <\frac{-10}{2} [/tex]

[tex] b<-5 [/tex]

so, we will get

[tex] b>4 [/tex] OR [tex] b<-5 [/tex]

so, option-D...........Answer

Answer Link

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