Question

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

Answer 1

The solution will be:
`w>-1`

Step-by-step explanation

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

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

`53w+13-56w<16\\ \\ -3w+13<16`

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

`-3w<16-13\\ \\ -3w<3`

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.......

`(-3w)/(-3)>(3)/(-3)\\ \\ w>-1`

Thus, the solution will be:
`w>-1`