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11-08-2019
Mathematics

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Solve the compound inequality.

5x – 11 < –11 or 4x + 2 > 14

A) x < -5 or x > 8
B) x < 0 or x > 3
C) x < -4 and 2/5 or x > 8
D) x < 0 or x > 4

Respuesta :

11-08-2019

Answer:

B) x < 0 or x > 3

Step-by-step explanation:

[tex]5x-11<-11[/tex] or [tex]4x+2>14[/tex]

Solution:

[tex]5x-11<-11[/tex] add 11 to both sides

[tex]5x<0[/tex] divide both sides by 5

[tex]x<0[/tex]

[tex]4x+2>14[/tex] subtract 2 from both sides

[tex]4x>12[/tex] divide both sides by 4

[tex]x>3[/tex]

x < 0 or x > 3

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