Question #60f48

1 Answer
Aug 25, 2016

Answer:

#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#