A, B, or C. Although choice A may not be the last step, some students may not need to continue solving because they can see the left side is the same as the right side.
This equation has infinitely many solutions. Students might have trouble with this idea, so one way to help them to think about the solutions is to have them try different values of .
A linear equation with one unique solution is a conditional equation. A linear equation that is true for all values of the variable is an identity equation. A linear equation with no solutions is an inconsistent equation.
The remainder of this section will focus on linear inequalities. A linear inequality is an inequality that can be written in one of the following forms:
In this activity, we explore the relationship between a linear equation and a linear inequality, as well as how to express solutions on a number line and in interval notation.
You can treat solving linear inequalities, just like solving an equation. The one exception is when you multiply or divide by a negative value, reverse the inequality symbol.
Solving a compound linear inequality, uses the same methods as a single linear inequality ensuring that you perform the same operations on all three parts. Alternatively, you can break the compound inquality up into two and solve separately.