Answer:
x= -4/99
Let's solve your inequality step-by-step.
−2/5x −9< 9/10
−45x−2/5x<9/10
Let's find the critical points of the inequality.
−45x−2/5x=9/10
−45x−2=9/2x(Multiply both sides by 5x)
−45x−2−9/2x=9/2x−9/2x(Subtract 9/2x from both sides)
−99/2x−2=0
−99/2x−2+2=0+2(Add 2 to both sides)
−99/2x=2
(2/−99)*(−99/2x)=(2/−99)*(2)(Multiply both sides by 2/(-99))
x= −4/99
Hope This Helps!