Solve the following linear inequations in R x + 5 > 4x – 10 – InterviewSolution

InterviewSolution

1.

Solve the following linear inequations in R x + 5 > 4x – 10

Answer»

Given,

x + 5 > 4x – 10

⇒ x + 5 – 5 > 4x – 10 – 5

⇒ x > 4x – 15

⇒ 4x – 15 < x

⇒ 4x – 15 – x < x – x

⇒ 3x – 15 < 0

⇒ 3x – 15 + 15 < 0 + 15

⇒ 3x < 15

⇒ \(\frac{3x}{3}\)<\(\frac{15}{3}\)

∴ x < 5

Thus,

The solution of the given inequation is (–∞, 5).

Discussion

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