Answer:
x>24.75
Step-by-step explanation:
The given equation is :
[tex]\dfrac{-2}{5}x-9<\dfrac{9}{10}[/tex]
Add 9 to both sides of the inequality.
[tex]\dfrac{-2}{5}x-9+9<\dfrac{9}{10}+9\\\\\dfrac{-2x}{5}<9.9[/tex]
Multiply 5 to both sides of the inequality.
[tex]\dfrac{-2x}{5}\times 5<9.9\times 5\\\\-2x<49.5[/tex]
Dividing both sides by(-2)
[tex]x<-24.75[/tex]
or
[tex]x>24.75[/tex]
Hence, the value of x is greater than 24.75.
