Solve the following linear inequations in R –(x – 3) + 4 < 5 – – InterviewSolution

InterviewSolution

1.

Solve the following linear inequations in R –(x – 3) + 4 < 5 – 2x

Answer»

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).

Discussion

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