Firstly we simplify the inequality, so we have x on the left side, and every number on the right side
[tex]\frac{x}{5}+2\leq 6\\ \frac{x}{5}+2-(2)\leq 6-(2)[/tex] so we take away 2 on both sides
[tex]\frac{x}{5}\leq 4[/tex] now this is the same as [tex]\frac{1}{5}*x\leq 4[/tex]
Now we multiply by 5 on both sides
[tex]5*\frac{1}{5}*x\leq 5*4[/tex] which is [tex]\frac{5}{5}*x \leq 20[/tex] which is simply [tex]x \leq 20[/tex] since 5 divide by 5 is 1 and 1 times x is x
So the inequality [tex]x \leq 20[/tex] means "every number for x that is less than or equal to 20"
Now from the list, the only number that fits is 15. So that's our answer
