How do you solve #-6v+8> -14v-28# and graph the solution on a number line?

1 Answer
Feb 26, 2017

Answer:

#" "v > -4.5#

Explanation:

Solve the inequality in the same way as an equation, unless you multiply or divide by a negative value, in which case the inequality sign changes around.

#-6v+8 > -14v -28#

#-6v+14v > -28 -8#

#" "8v > -36#
#color(white)(.......................................)(-36)/8 = (-18)/4 = -4 1/2#
#" "v > -4.5#

On a number line graph we would have an open circle on #-4.5# to indicate that it is not included in the solution, and draw and arrow to the right to show the possible solutions.