Writing a system of inequalities

Modeling with linear inequalities Video transcript - [Voiceover] "Fleur wants to make tables and chairs. And it looks like she uses six wooden boards for each chair and that's why you take six per chair times the number of chairs. This is the total number of wooden boards she uses from the chairs.

Writing a system of inequalities

Modeling with linear inequalities Video transcript - [Voiceover] So we're told a cupcake requires 35 grams of sugar and 50 grams of flour. So let me underline that. She needs to use up, "Shawna needs to use up at least grams of sugar "to make cupcakes and muffins, "and she wants to use at most grams of flour.

That's what we underlined here in green. So how much sugar she's gonna use for the cupcakes? Well, we're told right over here she requires 35 grams of sugar per cupcake. So the amount of sugar that she's going to use for all of the cupcakes is going to be 35 grams per cupcake, let me write that a little bit neater, 35 grams per cupcake times the number of cupcakes.

So this is how much sugar total she's going to use on the cupcakes. And then how many grams of sugar is she going to use for the muffins? Well, that's going to be 30 grams of sugar per muffin. So plus 30 grams of sugar per muffin times the number of muffins.

So this is the total sugar from the cupcakes.

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This is the total sugar from the muffins. And so if you add them together, this is a total sugar that she's using and we're told that she needs to use up at least grams of sugar.

So everything here is in grams. So this has to be greater than or equal. She needs to use at least grams of sugar to make both of these. We can just set up the inequality that represents the condition based on the number of grams of sugar which is this condition right over here.

Now let's see, this next question. Let's see, "Write an inequality that represents "the condition based on the number of grams of flour. She needs to use no at most grams of flour.

writing a system of inequalities

So no more than grams. So how would we express that as an inequality? Well, how much flour is she going to use for the cupcakes?©j Mg1 q1C QK8uWtKaB CSQovfWt0w ka9r TeY 0LlLFCg.1 m WAIlFlT hrhisgRhTtRsz Yr2eLsAemrnvPe Sdg. 6 0 nMnaad5e C Lwji Xtyhr rIZn QfJiOnKiHtRe9 4A 4l cg iepbCrAaX p2 a.H Worksheet by Kuta Software LLC.

Solving Systems of Inequalities Date_____ Period____ Sketch the solution to each system of inequalities. 1) y Sketch the solution to each system of inequalities.

1). Writing System Of Inequalities. Showing top 8 worksheets in the category - Writing System Of Inequalities. Some of the worksheets displayed are Systems of, Concept 11 writing graphing inequalities, Writing and graphing inequalities, Review inequalities date, Inequalities word problem work, Lucasal solving and graphing linear inequalities unit plan, Systems of inequalities, 7 write and graph.

• Determine if an equation or inequality is appropriate for a given situation. • Solve mathematical and real-world problems with equations.

• Represent real-world situations as inequalities. A system of linear inequalities in two variables consists of at least two linear inequalities in the same variables. The solution of a linear inequality is the ordered pair that is a solution to all inequalities in the system and the graph of the linear inequality is the graph of all solutions of the system.

Solving and Graphing Inequalities

Writing linear equations using. Steps for Solving a System of Inequalities Word Problem. Read the problem and highlight important information. Identify the variables. Find one piece of information in the problem that you can use to .

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