Question

Solve for www. Give an exact answer in simplified form. 53w+13 < 56w + 16

Answer 1

The solution will be:  $w>-1$

Explanation

The given inequality is:   $53w+13 < 56w + 16$

First we will subtract $56w$ from both sides. So.....

$53w+13-56w$

Now we will subtract 13 from both sides. So.....

$-3w$

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.......

$\frac{-3w}{-3}>\frac{3}{-3}\\ \\ w>-1$

Thus, the solution will be:  $w>-1$