To solve for the missing value:
[tex]\begin{gathered} -8x+19<-13 \\ 38-m\le4(2-m) \end{gathered}[/tex](a) These inequality is solved by first collecting like terms
[tex]\begin{gathered} -8x+19<-13 \\ \text{collect like terms} \\ -8x<-13-19 \\ -8x<-32 \\ divide\text{ both side by -8} \\ \frac{-8x}{-8}<\frac{-32}{-8} \\ x>4 \end{gathered}[/tex](b) These inequality will solved by opening the bracket
[tex]\begin{gathered} 38-m\le4(2-m) \\ 38-m\le8-4m \\ 38-8\le-4m+m \\ 30\le-3m \\ \text{divide both side by -3} \\ \frac{30}{-3}\le\frac{-3m}{-3} \\ m\ge-10 \end{gathered}[/tex]Therefore the correct answer for x > 4 and m ≥ -10
