how is solving inequalities with addition and subtraction similar to and different from solving equations with addition and subtraction?

That technique for solving equations is: Whatever you do to one side of the equation, you have to do to the other side to preserve the equality The technique for solving inequalities is: Whatever you do to one side of the inequality, you have to do to the other side to preserve the inequality. the techniques are the same. The difference between solving equations and solving inequalities is: If you multiply or divide an inequality by a negative number, then the inequality reverses.