Question

4. Solve: 5-4x < 10-x, X€ Z Represent the solution set on the number line.

pls answer i will mark as branlist ​

Answer 1

`\boxed{\textsf{ The range of x is $\bf{ x \in \bigg( -(5)/(3),-\infty \bigg)}$. }}`

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 ,

`\sf\implies 5-4x < 10 - x \qquad x \in Z`

For the number line kindly refer to the attachment .

Taking the given inequality :-

`\sf\implies 5-4x < 10-x \\\\\sf\implies -4x +x < 10 -5 \\\\\sf\implies -3x < 5 \\\\\sf\implies x <(5)/(-3)\\\\\sf\implies \boxed{\pink{\sf x < (-5)/(3) }}`

This means that the value of x can be anything from -5/3 to -∞

`\sf\implies\red{ x \in \bigg( -(5)/(3),-\infty \bigg)}`