How do you solve the inequality #3/4(x - 2) - 1/3(5 - 2x) < -2#?

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Answer 1 · 2018-03-10T19:58:42

x ≥ 14

#3/4x-2/3x=1/12x#

#-6/4-5/3= -38/12#

#1/12x - 38/12 >= -2#

#1/12x >= -2+ 38/12#

#1/12x >= -24/12+38/12=14/12#

#1/12x *12#

#14/12 *12 = 14#

#x>= 14 #

Now replace x with 14 and the equality would be #-2 >=-2#