Chapter 3 - Solving Inequalities - 3-2 Solving Inequalities Using Addition or Subtraction - Lesson Check - Page 174: 7

a. Subtract $4$ from both sides of the equation. b. Add $1$ to both sides of the equation. c. Subtract $3$ from both sides of the equation. d. Add $2$ to both sides of the equation.

The main goal here is to answer each inequality by isolating each of their variables. In this example, though, our answers are already there, so we're left to find out how to get to them from the given equation. For each equation, you just want to do whatever is necessary to get the variable alone on one side. To do this, you need to cancel out any other values that are on the same side of the equation as the variable. We do this by adding or subtracting a value that would make it total to zero. This must be done to both sides of the equation to be correct.