Question

Question #60f48

Answer 1

`x > -1`

Explanation:

We can solve an inequality like this if we remember the following rules:

• We can add or subtract any real number to both sides of an inequality without changing its direction.
  E.g. `x < y => x+1 < y+1`
• We can multiply both sides of an inequality by any positive real number without changing its direction.
  E.g `x < y => 4x < 4y`
• We can multiply both sides of an inequality by any negative real number if we change its direction.
  E.g `x < y => -2x > -2y`

With those in mind, we can use those to isolate `x`:

`-3x+8 < 11`

`=> -3x+8-8 < 11-8`

`=> -3x < 3`

`=> -3x*-1/3 > 3*-1/3`

`:. x > -1`