Answer:
x > [tex]\frac{1}{5}[/tex]
Step-by-step explanation:
[tex]\frac{5(9-x)}{3+1}<11[/tex]
Add 3 and 1 to get 4.
[tex]\frac{5(9-x)}{4}<11[/tex]
Use the distributive property to multiply 5 by 9−x.
[tex]\frac{45-5x}{4}<11[/tex]
Subtract 45/5 from both sides.
[tex]-\frac{5}{4}x<11-\frac{45}{4}[/tex]
Since 44/4 and 45/4 have the same denominator, subtract them by subtracting their numerators.
[tex]-\frac{5}{4} x<-\frac{1}{4}[/tex]
Multiply both sides by -4/5, the reciprocal of -5/4. Since -5/4 is negative, the inequality direction is changed.
[tex]x>-\frac{1}{4} (-\frac{4}{5} )[/tex]
Multiply -1/4 times -4/5 by multiplying numerator times numerator and denominator times denominator.
[tex]x>\frac{-(-4)}{4 x 5}[/tex]
[tex]x>\frac{1}{5}[/tex]
