Question #6547c

1 Answer
Jim G.
Feb 1, 2017

#x<-7#

Explanation:

simplify the left side by distributing and collecting like terms.

#3x-18-7x>10#

#rArr-4x-18>10#

add 18 to both sides.

#-4xcancel(-18)cancel(+18)>10+18#

#rArr-4x>28#

To solve for x, divide both sides by - 4

#color(blue)"NOTE"# when dividing/multiplying an inequality by a negative quantity we must #color(blue)" reverse the symbol"#

#(cancel(-4) x)/cancel(-4)<(28)/(-4)larrcolor(red)" reverse symbol"#

#rArrx<-7" is the solution"#

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