What is the solution to the inequality #5x + 8 > –12#?

1 Answer
Aug 12, 2015

Answer:

#x > -4#

Explanation:

Given an inequality, the inequality remains valid (including orientation of the inequality sign) following:

  • addition or subtraction of any equal amount to/from both sides
  • multiplication or division by any equal amount greater than zero on both sides.

Therefore, given #5x+8 > -12#

we can subtract #8# from both sides to get
#color(white)("XXXX")##5x > -20#

and then we can divide both sides by #5#
#color(white)("XXXX")##x > -4#