we will proceed to solve all cases to determine the solution of the problem
case A)
Eliminate the parenthesis of the left side
Group terms that contain the same variable, and move the constants to the opposite side of the inequality
Combine like terms
The solution is the interval--------> (-3,∞)
All real numbers greater than
therefore
The inequality A has solution
case B)
Eliminate the parenthesis of the right side
Group terms that contain the same variable, and move the constants to the opposite side of the inequality
Combine like terms
---------> is not true
therefore
The inequality B has no solution
case C)
Eliminate the parenthesis of the left side
Group terms that contain the same variable, and move the constants to the opposite side of the inequality
Combine like terms
Multiply by both sides
The solution is the interval--------> (8/3,∞)
All real numbers greater than
therefore
The inequality C has solution
case D)
Eliminate the parenthesis of the right side
Group terms that contain the same variable, and move the constants to the opposite side of the inequality
Combine like terms
Multiply by both sides
The solution is the interval--------> (0,∞)
All real numbers greater than
therefore
The inequality D has solution
therefore
the answer is