1.

Solve the linear Inequations in R.–(x – 3) + 4 < 5 – 2x

Answer»

Given as –(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

Therefore, the solution of the given inequation is (–∞, –2).



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