Check if I'm right?

2(x-y)

Question

Check if I'm right?

2(x-y) < -5

And from that I got....

Y < 1x + 5/2

jim_thompson5910 · Answer

Did you mean to write $$\Large y < 1x + \frac{5}{2}$$ ?

anonymous · Answer

Yes.

jim_thompson5910 · Answer

If so, then you are close, very close, but remember that the sign will flip when you multiply or divide both sides by a negative number

jim_thompson5910 · Answer

ex: 

-2x > 4

turns into

x < -2

anonymous · Answer

That's incorrect.

When you multiply both sides by -1, the face of the inequality switches.

$$2x-2y < -5$$

anonymous · Answer

Even if the sign is flipped, I don't see how I can be right because it tells me to graph and the graph only goes up to 5.

anonymous · Answer

And I would have to go up to 6.

anonymous · Answer

$$-2x+2y > -5$$
$$2y > 2x + 5$$
$$y > x + \frac{ 5 }{ 2 }$$

jim_thompson5910 · Answer

to graph this, you can use the points (0, 2.5) and (1, 3.5)

draw a line through those two points

then make the line a dashed line

finally, shade above this dashed line to complete graphing the inequality

anonymous · Answer

But don't you go up 5, over 2? Instead of 2.5

jim_thompson5910 · Answer

5/2 = 2.5

so that's how I got that first point

jim_thompson5910 · Answer

you plug in x = 0 to get y = 2.5

anonymous · Answer

I think I might've just done my whole paper wrong.

jim_thompson5910 · Answer

if it was 5/2x then yes you would go up 5 and over 2

jim_thompson5910 · Answer

but it's really 1x or 1/1x

so you go up 1 and over 1

anonymous · Answer

Oh ok, thanks for clarifying. Will definetly help me on tomorrows exam. Gotta redo the paper though. :P

jim_thompson5910 · Answer

np