2<4-3x<7

Subtract 4 from each section of the inequality because it does not contain the variable we are trying to solve for.

2-4<-3x<7-4

Subtract 4 from 2.

-2<-3x<7-4

Subtract 4 from 7.

-2<-3x<3

-2<-3x<3

Divide each term in the inequality by -3.

-2-3>-3x-3>3-3

Dividing two negative values results in a positive value.

23>-3x-3>3-3

Cancel the common factor.

23>-3x-3>3-3

Divide x by 1.

23>x>3-3

23>x>3-3

Divide 3 by -3.

23>x>-1

Rewrite the interval so that the left value is less than the right value. This is the correct way to write an interval solution.

-1<x<23

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