-4/(2x+5)<0?

Question

i need to solve this rational inequality

Answer 1

x < -2/5
Here's the steps I used to work it out
-4/(2x + 5)<0
Use the distributive property to get it separated.
-4/2x + -4/5<0
-4/2 is just -2, so
-2x + -4/5<0
add 4/5 to both sides to cancel out the negative 4/5, so
-2x < 4/5
Divide by negative two to get x alone
x < 4/5 divided by -2 (or times -1/2)
x < -4/10
or, reduced, it is
x < -2/5

Answer 2

x is -infinite because you cannot get zero from a variable in the denominator. You need to overpower the numerator with something extremely large to get approximately zero.

EDIT:

What Laurel just did is a big mathematical no-no!

-4/(2x+5) is not equal to -4/2x -4/5. That only works for sums over a common denominator (x + y)/z = x/z + y/z.

Answer 3

x < 160