How do you solve and graph #1/2x-4> -6#?

2 Answers
Jun 19, 2018

Answer:

#x>4#, so shade all the graph above four, and use dotted line on the value 4 to say that value is not included

Explanation:

At the first take the #-4# to the other side so #-6 # becomes #-2#
then multiply #-2# with #2 # from the denominator of the other side so the inequality #x > 4# comes

Jun 19, 2018

Answer:

#x > -4#

Explanation:

Given
#color(white)("XXX")1/2x-4 > -6#

Remember that we can
#color(white)("XXX")#add or subtract any number or
#color(white)("XXX")#multiply or divided any number greater than zero
on both sides of an inequality without changing the direction or validity of the inequality.

Adding #4# to both sides of the given inequality:
#color(white)("XXX")1/2x > -2#
Then multiplying both sides by #2#
#color(white)("XXX")x > -4#

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Note: I modified the question which contained the sequence ">-6" (and thus appeared as #>-6#) to "> -6" (so it appears as #> -6#). Hopefully this is what was intended.