Question

Help pwease!!
Solve the following inequality for x:

-2/5x-9 < 9/10

Answer 1

\[-\frac{2 }{ 5x }-9<\frac{ 9 }{ 10 }\]

Answer 2

this is the question ?

Answer 3

yes

Answer 4

we will move the 9 to the right side and get:


-2/5x < 9.9


now multiply both sides by 5x.
since x cant be zero because it is in the denominator.
we will split to two cases.
if
x>0 then:

-2 < 49.5x
the divide both sides by 49.5

-4/99 < x

so x>0 and x> -4/99 gives x >0 .

if x< 0 then:
-2 > 49.5x
the divide both sides by 49.5

-4/99 > x
so x < 0 and x < -4/99 gives x < -4/99

so we have x> 0 or x < -4/99.