0 is less than 8-3x. express using int notation

Question

anonymous · Answer

$$0<8-3x$$
Solve the same way you would if it was an = instead of <.
Add 3x to both sides.  Then divide by 3.
The only thing to watch for is that if you mulitply or divide by a negative, the sign switches direction.

anonymous · Answer

i got x = -8/3

anonymous · Answer

how do u express that using interval notation

anonymous · Answer

You're close...
$$0<8-3x$$$$3x<8$$$$x<8/3$$
So x can be any number less the 8/3.  In interval notation, that would be
$$(-\infty,8/3)$$Infinity (positive or negative) always has the parentheis.  Since you are strictly less than 8/3 (as opposed to less than or equal), the 8/3 also has the parenthesis.