Answer:
[tex]\boxed{\textsf{ The range of x is $\bf{ x \in \bigg( -\dfrac{5}{3},-\infty \bigg)}$. }}[/tex]
Step-by-step explanation:
A linear inequality is given to us and we need to solve that inequality and represent it on the number line . So the given inequality to us is ,
[tex]\sf\implies 5-4x < 10 - x \qquad x \in Z [/tex]
For the number line kindly refer to the attachment .
Taking the given inequality :-
[tex]\sf\implies 5-4x < 10-x \\\\\sf\implies -4x +x < 10 -5 \\\\\sf\implies -3x < 5 \\\\\sf\implies x <\dfrac{5}{-3}\\\\\sf\implies \boxed{\pink{\sf x < \dfrac{-5}{3} }}[/tex]
This means that the value of x can be anything from -5/3 to -∞
[tex]\sf\implies\red{ x \in \bigg( -\dfrac{5}{3},-\infty \bigg)}[/tex]
