binterrante
binterrante binterrante
  • 09-11-2020
  • Mathematics
contestada

Solve the compound inequality​

Solve the compound inequality class=

Respuesta :

emmarfaulkner
emmarfaulkner emmarfaulkner
  • 09-11-2020

Answer:

4/7 > x > -11/7

Step-by-step explanation:

First, add -4/3 to all parts

then divide all parts by -7/3

Answer Link
leojauregui0227
leojauregui0227 leojauregui0227
  • 09-11-2020

so, We need to separate it into two inequalities

[tex] \frac{4 - 7x}{3} > 0[/tex]

[tex] \frac{4 - 7x}{3} < 5[/tex]

then we solve for x,

[tex] \frac{4 - 7x}{3} > 0 = x < \frac{4}{7} [/tex]

[tex] \frac{4 - 7x}{3} < 5 = x > - \frac{11}{7} [/tex]

so we ended up like this

[tex]x = ( - \frac{11}{7} \frac{4}{7})[/tex]

Answer Link

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