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Question
Solve the following inequation and represent the solution on the number line in following case:
−(x − 3) + 4 < −2x + 5
Sum
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Solution
−(x − 3) + 4 < −2x + 5
Expand the left-hand side:
−(x − 3) + 4
= −x + 3 + 4
= −x + 7
−x + 7 < −2x + 5
Add 2x to both sides:
x + 7 < 5
Subtract 7 from both sides:
x < −2
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