Solve the following linear inequations in R
–(x – 3) + 4 < 5 – 2x
Given –(x – 3) + 4 < 5 – 2x
⇒ –x + 3 + 4 < 5 – 2x
⇒ –x + 7 < 5 – 2x
⇒ –x + 7 – 7 < 5 – 2x – 7
⇒ –x < –2x – 2
⇒ –x + 2x < –2x – 2 + 2x
∴ x < –2
Thus, the solution of the given inequation is (–∞, –2).
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