How do you solve the inequality #x 3/2< -8#?

1 Answer
smendyka
May 3, 2017

See the solution process below:

Explanation:

Multiply each side of the inequality by #color(red)(2)/color(blue)(3)# to solve for #x# while keeping the inequality balanced"

#x3/2 xx color(red)(2)/color(blue)(3) < -8 xx color(red)(2)/color(blue)(3)#

#xcolor(blue)(cancel(color(black)(3)))/color(red)(cancel(color(black)(2))) xx cancel(color(red)(2))/cancel(color(blue)(3)) < -16/3#

#x < -16/3#

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