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Chapter 7: Q.473. (page 741)

Solve the rational inequality and write the solution in interval notation.

x-3x+4鈮�0

Short Answer

Expert verified

The solution is-4<x鈮�3or(-4,3].

Step by step solution

01

Step 1. Given information.

The given rational inequality isx-3x+4鈮�0.

02

Step 2. Find all the values where the expression switches from negative to positive by setting each factor equal to zero.

x-3=0x=3or x+4=0x=-4

03

Step 3. Simplified answer.

The domain of the given inequality is -鈭�,-4鈭�-4,鈭�.

The solution consists of all of the true intervals.

-4<x鈮�3or(-4,3]

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