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  • 16-02-2021
  • Mathematics
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Solve the following compound inequality 4

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MrRoyal
MrRoyal MrRoyal
  • 21-02-2021

Answer:

[tex]0 < x < 8[/tex]

Step-by-step explanation:

Given

[tex]4 < x + 4 < 12[/tex]

Required

Solve

[tex]4 < x + 4 < 12[/tex]

Split:

[tex]4 < x + 4[/tex]  and  [tex]x + 4< 12[/tex]

Collect Like Terms

[tex]4 - 4 < x[/tex] and [tex]x < 12- 4[/tex]

[tex]0<x[/tex] and [tex]x < 8[/tex]

Combine

[tex]0 < x < 8[/tex]

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