How do you solve #\frac { 2x + 3} { 4} \geq \frac { x + 4} { 3} - 1#?

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Answer 1 · 2017-09-11T11:23:53

#:.x>=-5/2#

#(2x+3)/4>=(x+4)/3-1#

firstly multiply both sides by #lcm(3,4)# in order to remove all fractions.

#because 12>0# we do not need to change the inequality

#(cancel(12)^3(2x+3))/cancel(4)>=(cancel(12)^4(x+4))/cancel(3)-12#

multiply the brackets

#6x+9>=4x+16-12#

isolate the #x# term

#6x-4x>=4-9#

#2x>=-5#

#:.x>=-5/2#