Solve each of the following in equations and represent the solution set on the number line.

3x – 4 > x + 6, where x ϵ R.


Given:


3x – 4 > x + 6, where x ϵ R.


3x – 4 > x + 6


Adding 4 to both sides in above equation


3x – 4 + 4 > x + 6 + 4


3x > x + 10


Now, subtracting x from both the sides in above equation


3x – x > x + 10 – x


2x > 10


Now, dividing both the sides by 2 in above equation



x > 5


Therefore, x є (5, ∞)



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