Which of the following is the solution to the compound inequality below?
5 + x 23
or
6x+1<-29
A. X2-2 or X<-5
O B. x2 - 22 or xc - 14
C.X22 or X<5
14
D. 28
or X

Respuesta :

Answer:

[tex]x \ge -2[/tex] or [tex]x < -5[/tex]

Step-by-step explanation:

Given

[tex]5+x\ge3[/tex] or [tex]6x+1<-29[/tex]

Required

The solution

[tex]5+x\ge3[/tex]

Solve for x

[tex]x \ge 3 - 5[/tex]

[tex]x \ge -2[/tex]

[tex]6x+1<-29[/tex]

Solve for 6x

[tex]6x < -29 - 1[/tex]

[tex]6x < -30[/tex]

Solve for x

[tex]x < -30/6[/tex]

[tex]x < -5[/tex]

Hence, the solution is:

[tex]x \ge -2[/tex] or [tex]x < -5[/tex]

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