In this final lesson on inequalities, students explore situations in which some of the solutions to inequalities do not make sense in the situation’s context. Students learn to think carefully about a situation’s constraints when coming up with reasonable solutions to an inequality. Students also see that inequalities can represent a comparison of two or more unknown quantities.
- Critique (orally and in writing) possible values given for a situation with more than one constraint, including whether fractional or negative values are reasonable.
- Interpret unbalanced hanger diagrams (orally and in writing) and write inequality statements to represent relationships between the weights on an unbalanced hanger diagram.
- Write and interpret inequality statements that include more than one variable.
Let’s examine what inequalities can tell us.
- I can explain what the solution to an inequality means in a situation.
- I can write inequalities that involves more than one variable.
solution to an inequality
A solution to an inequality is a number that can be used in place of the variable to make the inequality true.
For example, 5 is a solution to the inequality \(c<10\), because it is true that \(5<10\). Some other solutions to this inequality are 9.9, 0, and -4.