the expression we have is:
[tex]4-3x>-14[/tex]To solve this, we substract 4 from both sides of the inequality:
[tex]\begin{gathered} 4-4-3x>-14-4 \\ -3x>-18 \end{gathered}[/tex]Next, we divide both sides by (-3), but we have to flip the symbol > for a <, this is because when we divide by a negative number we have to flip the symbol.
[tex]\frac{-3x}{-3}<\frac{-18}{-3}[/tex]solving the operations:
[tex]x<6[/tex]And the only one of our options that is less than 6 is option D.5