ThGiven the inequality below
[tex]-2(x+3)>4x-7[/tex]
Remove the bracket using distributive property of algebra
[tex]\begin{gathered} -2(x)-2(3)>4x-7 \\ -2x-6>4x-7 \end{gathered}[/tex]
Collect like terms
[tex]\begin{gathered} -2x-4x>-7+6 \\ -6x>-1 \end{gathered}[/tex]
Divide both sides by -6
[tex]\frac{-6x}{-6}<\frac{-1}{-6}[/tex][tex]x<\frac{1}{6}[/tex]
Hence, the solution of the inequality is
[tex]x<\frac{1}{6}[/tex]
The graph of the solution is given below
OR
