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Solve the followinginequality forz:
z-b<2 A. 2+b B. 2+b>z> 2-a
C. 2+2 > z>b-a
D. z> a +b-2>Z
E. 2+b>z< 2-a
F. None of the above

Respuesta :

MrRoyal

Answer:

[tex]2 + b >z > 2 -a[/tex]

Step-by-step explanation:

Given

[tex]z - b < 2 < a + z[/tex]

Required

Solve for z

Split the inequality

[tex]z - b < 2[/tex] or [tex]2< a + z[/tex]

Make z the subject

[tex]z < 2 + b[/tex] or [tex]2 - a < z[/tex]

Rewrite as:

[tex]2 + b >z[/tex] or [tex]z > 2-a[/tex]

Combine the inequalities

[tex]2 + b >z > 2 -a[/tex]

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