The possible additional amount David will spent is [tex]c \leq 17[/tex]
Solution:
Let "c" be the additional amount in dollars that David will spent
Given that,
David will spend at most $39 on gifts. So far, he has spent $22
Here, "at most " means that "less than or equal to"
Therefore, we can say,
The amount David has spent and possible additional amounts he will spend must be less than or equal to $39
Thus a inequality is framed as,
Amount David has spent + possible additional amount [tex]\leq[/tex] 39
[tex]22 + c \leq 39[/tex]
Solve the inequality for "c"
Add -22 on both sides
[tex]-22+22+c\leq 39-22\\\\c\leq 17[/tex]
The maximum amount he could spend is $17
The possible amount spent is less than or equal to 17 dollars
