Can we do this with greater than sign

[Ryoukomaru]

Can we do this with "greater than" sign

If $$(2x-9)(x+3)\geq0$$ then can we say $$(2x-9)\geq0$$ and $$(x+3)\geq0$$ and solve them separately ? I am not sure if i can do this because of the $$\geq$$ sign.

Hmm wrong section. Actually this is part of my homework anyway.

 

[Yapper]

Yeah you can do that because you are dividing both sides by the binomials and 0/ by anything equals 0.

 

[Galileo]

The product will also be positive if both factors are negative.

 

[vincentchan]

If $$(2x-9)(x+3)\geq0$$ then can we say $$(2x-9)\geq0$$ and $$(x+3)\geq0$$ and solve them separately ? I am not sure if i can do this because of the sign.

this is part of the solution only...
Hints
could both values inside the bracket be negative?

 

[Ryoukomaru]

Thx a lot all and thanks again for the hint.