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
<div data-graph-input="{"graphs":[{"ascii":"-1<x
