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, ∞)