1.

Solve the following linear inequations in R 3x – 7 > x + 1

Answer»

Given,

3x – 7 > x + 1 

⇒ 3x – 7 + 7 > x + 1 + 7 

⇒ 3x > x + 8

⇒ 3x – x > x + 8 – x 

⇒ 2x > 8

⇒ \(\frac{2x}{2}\) > \(\frac{8}{2}\) 

∴ x > 4 

Thus,

The solution of the given inequation is (4, ∞).



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