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Chapter 5: Q 2. (page 297)

Solve the inequality :x-1x+4>0

Short Answer

Expert verified

Domain of the function should be x-1x+4>0, therefore (x-1)and (x+4)must remain either positive or negative simultaneously.

For, (x-1)>0, the value of xshould be (1,鈭�)and (x+4)>0, the value of xshould be (-4,鈭�)

Again, (x-1)<0, the value of xshould be (-鈭�,1)and (x+4)<0, the value will be (-鈭�,-4)

Hence, the solution is x鈭�(-鈭�,-4)鈭�(-4,+鈭�)

Step by step solution

01

Step 1. Given information

Given expression isx-1x+4>0

02

Step 2.  Calculation

Solving the inequalities, the function consists all real number excepts(-4), the domain will be(-鈭�,-4)鈭�(-4,+鈭�).

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