How do you solve and graph #9 ( x - 11 ) > 17 + 7x#?

1 Answer
Aug 10, 2015

Answer:

#color(red)(x>58)#

Explanation:

#9(x−11)>17+7x#

#9x-99 >17+7x#

#9x-7x>17+99#

#2x>116#

#x>58#

Now, plot each graph separately and then shade the area that satisfies the inequality.

Your inequality is #9(x−11)>17+7x#

Your graph is

Graph

The blue area represents the region in which #9(x−11)>17+7x#

Check: Test a point in the coloured region.

Try (#150,1200#).

#9(x−11)>17+7x#
#9(150-11)>17+7(150)#
#9×139>17+1050#
#1251>1067#
∴ TRUE