Question

How do you solve `5( - x - 5) \geq - 5x - 35`?

Answer 1

No solution or `cancel(0)`

Explanation:

`5(-x-5) >= -5x - 35`

The first thing we need to do is distribute. The '5' in the inequality multiplies to both the `-x` and `-5`, so the equation looks like this:
`-5x - 25 >= -5x - 35`

Now let's put all the variables on the left side and the numbers on the right side of the equation.

Notice that when we move `-5x` to left side, it will become positive, meaning that the -5x and 5x cancel out. So the inequality looks like this:
`-25 >= -35`

Oh no! We don't have anymore variables left!

However, we see that the inequality says that -25 is MORE THAN OR EQUAL to -35. Is that ever true? NO. That means that there is NO SOLUTION or `cancel(0)`.