Solving Systems Of Inequalities Word Problems

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When you learn Algebra 1 in higher class you will find that real word problems are more difficult. From the given word problems, Step 1 : Read the question properly.

Here we will discuss System linear inequalities word problems.

Need some practice translating phrases into mathematical expressions? You'll get practice translating statements involving addition, subtraction, multiplication, or division into mathematical expressions.

Inequalities come up all the time when you're working algebra problems.

But the amount of batter in those groups is just $\frac$ and the amount of frosting is just $\cfrac$.

Solving Systems Of Inequalities Word Problems

With that in mind one arrives at the inequality mentioned.

Now if there are $b$ batters and $f$ frosts, then it can be made $n=\frac$ cakes provided there are enough frosts, that is $\frac\ge n$.

Now substituting first into second you get: $$\frac\ge \frac.$$ As the image explains, for every $ cups of batter, there must be at least $\frac$ cups of frosting. Well, we divide all the batter into groups of $ cups and for each one of those groups, the amount of batter has to be smaller (or at least equal, so we can make a cake) than the amount of frosting.

In this tutorial you'll learn what an inequality is, and you'll see all the common inequality symbols that you're likely to see :) Knowing the definition for a compound inequality is one thing, but being able to identify one in a word problem or phrase can be an entirely different challenge.

Arm yourself by learning some of the common phrases used to describe a compound inequality and an absolute value inequality.

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