How do you solve and graph #5-(x+4)<= -3#?

1 Answer
Jul 25, 2018

Answer:

#x >= 4#

Explanation:

#5-(x+4) <= -3#

Distribute the negative sign on the left side:
#5 - x - 4 <= -3#

Simplify:
#1 - x <= -3#

Add #color(blue)(x)# to both sides:
#1 - x quadcolor(blue)(+quadx) <= -3 quadcolor(blue)(+quadx)#

#1 <= -3 + x#

Add #color(blue)(3)# to both sides:
#1 quadcolor(blue)(+quad3) <= -3 + x quadcolor(blue)(+quad3)#

#4 <= x#

Therefore,
#x >= 4#

Here's a graph of it on a number line:
enter image source here
(mathwarehouse.com)

The closed circle on #4# means that it is a solution (and anything greater than it is).

Hope this helps!