Solve the compound inequality

Answer:
4/7 > x > -11/7
Step-by-step explanation:
First, add -4/3 to all parts
then divide all parts by -7/3
so, We need to separate it into two inequalities
[tex] \frac{4 - 7x}{3} > 0[/tex]
[tex] \frac{4 - 7x}{3} < 5[/tex]
then we solve for x,
[tex] \frac{4 - 7x}{3} > 0 = x < \frac{4}{7} [/tex]
[tex] \frac{4 - 7x}{3} < 5 = x > - \frac{11}{7} [/tex]
so we ended up like this
[tex]x = ( - \frac{11}{7} \frac{4}{7})[/tex]