Inequality Word Problems
My husband says I can spend no more than $500 when I go shopping. If x represents the amount of money I spend, what is an inequality that would represent this situation?
Answer: � ≤ 500 This inequality says that I can spend any amount up to $500, including $500. However, I can’t spend more than that.
Online streaming service A costs $25 per month, with a $2 charge per premium movie rental. Online streaming service B costs $20 per month, with a $3 charge per premium movie rental. When will service A cost less than service B? Answer: 25 + 2đ?&#x2018;Ľ < 20 + 3đ?&#x2018;Ľ (Translate) â&#x2C6;&#x2019;đ?&#x2018;Ľ + 25 < 20 (Subtract 3x on both sides) â&#x2C6;&#x2019;đ?&#x2018;Ľ < â&#x2C6;&#x2019;5 (Subtract 25 on both sides) đ?&#x2018;Ľ>5 (Divide by -1 on both sides)
Service A will cost less if you purchase more than 5 premium movies a month.
The perimeter of a rectangle is at least 30 cm. If the length is twice the width, what are possible values of the width?
Answer: 2đ?&#x2018;&#x2122; + 2đ?&#x2018;¤ â&#x2030;Ľ 30 2 2đ?&#x2018;¤ + 2đ?&#x2018;¤ â&#x2030;Ľ 30 4đ?&#x2018;¤ + 2đ?&#x2018;¤ â&#x2030;Ľ 30 6đ?&#x2018;¤ â&#x2030;Ľ 30 đ?&#x2018;¤â&#x2030;Ľ5 This width can be 5 cm or more.