Solving Inequality Word Problems

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Notice that this problem is not asking us to find out the number of hours Erykah will have to work to afford a specific sneaker—it is asking about any of these sneakers.

Since the least expensive sneaker is $150, we need to create an inequality that shows how much she needs to work in order to have “at least $150”—or, in math symbols, “≥ $150”.

An 18-wheel truck stops at a weigh station before passing over a bridge. The cab (front) of the truck weighs 20,000 pounds, and the trailer (back) of the truck weighs 12,000 pounds when empty.

In pounds, how much cargo can the truck carry and still be allowed to cross the bridge?

Note that the order of these terms could have been reversed, and we could have written |b – 35|. We used the inequality symbol Inequalities can be used to model a number of real-life situations.

When converting such word problems into inequalities, begin by identifying how the quantities relate to each other, and then pick the inequality symbol that is appropriate for that situation.

All of these can be represented as mathematical inequalities.

And, in fact, you use mathematical thinking as you consider these situations on a day-to-day basis.

Let fuel from petrol pump A = x and from petrol pump B = y Mr. ∴ 3x 5y $\leq$ 20 As the fuel never be negative so, x $\geq$ 0 y $\geq$ 0 As both x and y are greater than zero so zero is included. Graph a system of inequalities to represent this situation and write at least two solutions.

From Ramanujan to calculus co-creator Gottfried Leibniz, many of the world's best and brightest mathematical minds have belonged to autodidacts.


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