Solution:
Given:
The inequality;
[tex]4-5x<14[/tex]Collecting the like terms,
[tex]\begin{gathered} 4-5x<14 \\ -5x<14-4 \\ -5x<10 \\ \text{Dividing both sides by -5, the inequality sign changes when both sides of the inequality is multiplied or divided by a negative number } \\ x>\frac{10}{-5} \\ x>-2 \end{gathered}[/tex]Therefore, the range of values of x are;
[tex]x>-2[/tex]