How do you solve the inequality # x - 3 > 2#?

1 Answer
Sep 10, 2015

Answer:

#x > 5#

Explanation:

We can add 3 to each side of an inequality without effecting the validity or orientation of the inequality.

Things you can do with expressions in an inequality which maintain the inequality orientation:

  • Add the same amount to each expression
  • Subtract the same amount from each expression
  • Divide each expression by the same amount provided the amount is greater than zero
  • Multiply each expression by the same amount provided the amount is greater than zero

Things you can do with expressions in an inequality which reverse the inequality orientation.

  • Divide each expression by the same amount when the amount is less than zero
  • Multiply each expression by the same amount when the amount is less than zero