Question

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

Answer 1

`2 + b >z > 2 -a`

Explanation:

Given

`z - b < 2 < a + z`

Required

Solve for z

Split the inequality

`z - b < 2` or
`2< a + z`

Make z the subject

`z < 2 + b` or
`2 - a < z`

Rewrite as:

`2 + b >z` or
`z > 2-a`

Combine the inequalities

`2 + b >z > 2 -a`