How do you solve x-y<-1?

1 Answer
Jun 22, 2018

See solution process below;

Explanation:

#x - y < -1#

Solving for #x#

#x - y < - 1#

Add #y# to both sides;

#x - y + y < - 1 + y#

#x + 0 < - 1 + y#

#x < -1 + y#

#x < y - 1#

Similarly..

Solving for #y#

#x - y < - 1#

Subtract #x# from both sides;

#x - y - x < - 1 - x#

#x - x - y < - 1 - x#

#0 - y < - 1 - x#

#-y < - 1 - x#

Multiplying through by minus, the inequality sign would change in the opposite direction..

#y > 1 + x#

#y > x + 1#