The solution will be: [tex]w>-1[/tex]
Explanation
The given inequality is: [tex]53w+13 < 56w + 16[/tex]
First we will subtract [tex]56w[/tex] from both sides. So.....
[tex]53w+13-56w<16\\ \\ -3w+13<16[/tex]
Now we will subtract 13 from both sides. So.....
[tex]-3w<16-13\\ \\ -3w<3[/tex]
Then we need to divide both sides by -3. As here we are dividing the inequality by a negative number, so we need to switch the inequality symbol. So, we will get.......
[tex]\frac{-3w}{-3}>\frac{3}{-3}\\ \\ w>-1[/tex]
Thus, the solution will be: [tex]w>-1[/tex]
