Solve -2/3x > 8 or -2/3x < 4. A) -12 < x < -6 B) x C) x > -12 or x < -6

Question

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

A) x
B) x
C) x

Answer 1

B) x<-12 or x>-6

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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