Question 546804
Buying {{{x}}} CDs will cost (in $) {{{14x}}}.
That plus a DVD will cost (in $) {{{14x+19}}}.
Since you only have $65, you are limited to spend (in $)
{{{14x+19<=65}}}.
To solve, we first subtract 19 from both sides:
{{{14x+19<=65}}} --> {{{14x+19-19<=65-19}}} --> {{{14x<=46}}}
The inequality is still valid. No need to change the sign.
The we could divide both sides by 14:
{{{14x<=46}}} ---> {{{14x/14<=46/14}}} ---> {{{x<=23/7=3&2/7}}}
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.