WRITING A VERBAL DESCRIPTION OF A TWO STEP INEQUALITY

About "Writing a verbal description of a two step inequality"

Writing a verbal description of a two step inequality :

In this section, we will learn, how to write a verbal description to fit a two-step inequality.

Writing a verbal description of a two step inequality - Examples

Example 1 :

Write a corresponding real-world problem to represent 2x + 20 ≤ 50.

Solution :

Step 1 :

Analyze what each part of the inequality means mathematically.

x is the solution of the problem, the quantity you are looking for.

2x means that, for a reason given in the problem, the quantity you are looking for is multiplied by 2.

+ 20 means that, for a reason given in the problem, 20 is added to 2x.

≤ 20 means that after multiplying the solution x by 2 and adding to 20, the result can be no greater than 50.

Step 2 :

Think of some different situations in which a quantity x is multiplied by 2.

You run x miles per day for 2 days. So, 2x is the total distance run.

You buy 2 items each costing x dollars. So, 2x is the total cost.

Step 3 :

Build on the situation and adjust it to create a verbal description that takes all of the information into account.

Tomas has run 20 miles so far this week. If he intends to run 50 miles or less, how many miles on average should he run on each of the 2 days remaining in the week ?
Manny buys 2 work shirts that are each the same price. After using a $20 gift card, he can spend no more than $50. What is the maximum amount he can spend on each shirt?

Example 2 :

Write a corresponding real-world problem to represent 5x + 50 < 120.

Solution :

Step 1 :

Analyze what each part of the inequality means mathematically.

x is the solution of the problem, the quantity you are looking for.

5x means that, for a reason given in the problem, the quantity you are looking for is multiplied by 5.

+ 50 means that, for a reason given in the problem, 50 is added to 5x.

< 120 means that after multiplying the solution x by 5 nd adding to 50, the result can be greater than or equal to 120.

Step 2 :

Think of some different situations in which a quantity x is multiplied by 2.

You make x no. of cups of lemonade per minute for 5 minutes. So, 5x is the total no. of cups of lemonade.

You purchase 5 items each costing x dollars. So, 5x is the total cost.

Step 3 :

Build on the situation and adjust it to create a verbal description that takes all of the information into account.

A publisher ships a package of x number of books each weighing 5 pounds, plus a second package weighing 50 pounds. The total weight of both packages should be less than 120 pounds. Find the maximum number of books can be shipped.
Leon is planning to buy a birthday gift of $50 to his friend and some number of candies where the cost of each candy is $5. The expense made by by Leon should be less than $120. Find the maximum number of candies that Leon can buy.

After having gone through the stuff given above, we hope that the students would have understood "Writing a verbal description of a two step inequality".