finesso97
finesso97 finesso97
  • 03-11-2019
  • Mathematics
contestada

-2>3(b+4)/-2
Which of the following best describes the solutions to the inequality shown above?

2gt3b42 Which of the following best describes the solutions to the inequality shown above class=

Respuesta :

stevenslusser
stevenslusser stevenslusser
  • 03-11-2019

Answer:

[tex]$b>-\frac{8}{3}$[/tex]

Step-by-step explanation:

[tex]$-2>\frac{3(b+4)}{-2}$[/tex]

Multiply both sides by –2 (which flips the sign):

[tex]$4<3(b+4)$[/tex]

Divide both sides by 3:

[tex]$\frac{4}{3}<b+4$[/tex]

Subtract 4 from both sides:

[tex]$\frac{4}{3}-4<b$[/tex]

Make 4 an improper fraction with a denominator of 3:

[tex]$\frac{4}{3}-\frac{12}{3}<b$[/tex]

Subtract:

[tex]$-\frac{8}{3}<b$[/tex]

[tex]$b>-\frac{8}{3}$[/tex]

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