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Question
−(x − 3) + 4 < 5 − 2x
Solution
\[- \left( x - 3 \right) + 4 < 5 - 2x\]
\[ \Rightarrow - x + 3 + 4 < 5 - 2x\]
\[ \Rightarrow - x + 7 < 5 - 2x\]
\[ \Rightarrow - x + 2x < 5 - 7 \left[ \text{ Transposing - 2x to LHS and 7 to RHS } \right]\]
\[ \Rightarrow x < - 2\]
\[\text{ Hence, the solution set of the given inequation is } \left( - \infty , - 2 \right) .\]
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