How do you solve #2- 5( x - 5) \leq 7x + 15#?

1 Answer
Jun 5, 2018

#x >= 1#

Explanation:

Start with

#2-5(x-5) <= 7x+15#

Distribute the LHS

#2-5x+25 <= 7x+15#

Combine like terms on the LHS

#-5x+27 <= 7x + 15#

Add #5x# to both sides

#27 <= 12x + 15#

Subtract #15# from both sides

#12 <= 12x#

Divide both sides by #12#

#1 <= x#