Answer:
x > 2
Step-by-step explanation:
The inequality has constants and variables on both sides. It is convenient to find the variable term with the smallest (most negative) coefficient. Add the opposite of that term to both sides of the inequality.
2x -3 +5x > 11 -5x +5x . . . . added 5x
7x -3 > 11 . . . . . . . . . . . . . . . simplify
Now, find the constant on the side of the inequality that has the variable term. Add the opposite of that constant to both sides.
7x -3 +3 > 11 +3 . . . . . added 3
7x > 14 . . . . . . . . . . . . simplify
Finally, divide by the coefficient of x. It is positive, so we do not need to do anything to the relation symbol.
x > 14/7 . . . . . . . . . . divided by 7
x > 2 . . . . . . . . . . . . simplify . . . . This is your solution.
