Day 74 Inequalities problem solving

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Solve the system of inequalities by graphing. x ≤ – 2 y > 3

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Presentation transcript:

Day 74 Inequalities problem solving

Introduction Solving real-life problems that can be expressed in terms of inequalities. This is done by considering a number of constraints that shape the region within which the solution of the problem lies. In this lesson, we will look at word problems that can solved using inequalities.

Vocabulary: Inequalities They are relations that compares situations that may not be equal Two variable inequalities They are inequalities composed of two unknowns Modeling The process of forming an equation or an expression representing a given problem This can be done in the notebooks or on vocabulary cards. Whatever system you use 

Vocabulary: Constrains They are the conditions exposed to an inequality problem so as to come up with the required solution. This can be done in the notebooks or on vocabulary cards. Whatever system you use 

Problem solving using inequality To solve a problem using inequalities, a number of constrains are defined which leads to more than one inequality. The solution of the problem is taken to be the suitable value within the region that is the intersection of the given inequalities. We will approach this by an example.

homework A student is required to have at least two ruled and a square line exercise books. The price of each is $0.5 and $0.9 respectively. Given that a student has $4 to spend on these, (i). Write down all the inequalities required to solve the problem (ii). What is the maximum amount that he can spend?

Answers to the homework

Answers to the homework The graph is

THE END