Question

Solve -2/3x > 8 or -2/3x < 4.

A) {x | -12 < x < -6}
B) {x | x < -12 or x > -6}
C) {x | x > -12 or x < -6}

Answer 1

Answer:

B) {x| x<-12 or x>-6}

Step-by-step explanation:

-2/3x>8

change -2/3 as -3/2 and multiply both sides by -3/2x

-2/3x•(-2/3)x<-3/2•8

calculate

reduce

x<-3•4

multiply numbers

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x<-12

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now we're done with the first equation, let's do the other equation to find the answer!

-2/3x<4

multiply both sides by -3/2 and again change -2/3 by -3/2

-3/2•(-2/3)x>-3/2•4

calculate

reduce

x>-3•2

multiply numbers

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x>-6

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