SOLUTION: suppose a DVD costs $19 and a CD costs $14. write an inequality to find how many CDs you can buy along with one DVD if you have $65 to spend solve the inequality

Algebra ->  Inequalities -> SOLUTION: suppose a DVD costs $19 and a CD costs $14. write an inequality to find how many CDs you can buy along with one DVD if you have $65 to spend solve the inequality       Log On


   

Question 546804: suppose a DVD costs $19 and a CD costs $14. write an inequality to find how many CDs you can buy along with one DVD if you have $65 to spend solve the inequality
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
Buying x CDs will cost (in $) 14x.
That plus a DVD will cost (in $) 14x%2B19.
Since you only have $65, you are limited to spend (in $)
14x%2B19%3C=65.
To solve, we first subtract 19 from both sides:
14x%2B19%3C=65 --> 14x%2B19-19%3C=65-19 --> 14x%3C=46
The inequality is still valid. No need to change the sign.
The we could divide both sides by 14:
14x%3C=46 ---> 14x%2F14%3C=46%2F14 ---> x%3C=23%2F7=3%262%2F7
The inequality is still valid (No need to flip the sign when you divide or multiply by a positive number).
You can buy 3 CDs along with that one DVD, and you'll have some money left, but you cannot buy one DVD and four CDs.