Q5 of 122 Page 15

Solve the following linear inequations in R

x + 5 > 4x – 10

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



∴ x < 5


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


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