How do you solve the inequality #7x - 5x + 3 > 9#?

1 Answer
Dec 7, 2015

Answer:

#x > 4 1/2#

Explanation:

Given #7x - 5x + 3 > 9#

Simplifying the left side:
#color(white)("XXX")2x+3 > 9#

Subtract #3# from both sides
#color(white)("XXX")2x > 9#

Divide both sides by #2#
#color(white)("XXX")x > 9/2 (=4 1/2)#

Remember that the following operations do not effect the validity or orientation of an inequality:

  • adding or subtracting the same amount to both sides
  • multiplying or dividing both sides by the same amount provided that amount is greater than 0