In this lesson and the next, we move on to applying inequalities to solve problems. The warm-up is a review of the work in the previous lesson about solving inequalities when no context is given. Then students interpret and solve inequalities that represent real-life situations, making sense of quantities and their relationships in the problem (MP2).
- Critique (orally) a solution method for a problem involving an inequality.
- Identify the inequality that represents a situation, and justify (in writing) the choice.
- Present (orally, in writing, and using other representations) the solution method for a problem involving an inequality, and interpret the solution.
Let’s write inequalities.
- I can match an inequality to a situation it represents, solve it, and then explain what the solution means in the situation.
- If I have a situation and an inequality that represents it, I can explain what the parts of the inequality mean in the situation.
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.