How do you solve and graph #y - 2 > -3#?

1 Answer
Jul 23, 2015

Answer:

#y > -1#
#color(white)("XXXX")#(see below for graphs)

Explanation:

Given an inequality, the following operations can be performed to both sides of the inequality without effecting the inequality relation:

  1. Add any amount
  2. Subtract any amount
  3. Multiply by any amount #> 0#
  4. Divided by any amount #> 0#

Given #y - 2 > -3#
We can add #2# to both sides, to get:
#color(white)("XXXX")##y > -1#

Since this is a relationship involving a single variable, it could be graphed on a number line (top image below); notice the hollow circle which indicates that the value #(-1)# is not included in the solution set.

You could also graph this relationship on the Cartesian plane (bottom image below); again, notice the broken line on the left indicates that #(-1)# is not to be included in the solution set.
enter image source here