what would x < -1 look like graphed
you'd essentially be graphinng x = -1 that is \(\begin{array}{llll} y = \pm 10& x = -3\\ y = \pm 100& x = -3\\ y = \pm 1000& x = -3\\ y = \pm 10000& x = -3\\ y = \pm \infty& x = -3\\ \end{array}\)
-3? where the heck? anyhow, lemme rewrite that
x = -1 \(\begin{array}{llll} y = \pm 10& x = -1\\ y = \pm 100& x = -1\\ y = \pm 1000& x = -1\\ y = \pm 10000& x = -1\\ y = \pm \infty& x = -1\\ \end{array}\)
Ok how would that look graphed ?
well, let's pick 2 points... + 10 and -10 for "y", x = -1|dw:1380133475639:dw| so draw a line through those 2 points, and see how it looks like
Actually, I'm looking for a different graph. Idk what it's called but I think it would look like this --------------(-)---------> 4 -3 -2 -1 0 1 2 3 4
@mikaa_toxica13 it's called a number line.
ohh interval number line well then x < -1, on the negative side, the closer you're to 0(zero), the greater the number thus -2 is greater than -3 and -5 -5 is greater than -11 and so on x < -1 notice the \(\bf less\) sign, "x" is not equal to -1, it's just less, so it has an open-hole at -1 |dw:1380133799560:dw|
so it'd be \(\Large (-\infty\quad, \quad -1)\)
So if it were less than or equal too it would be a closed hole ?
yeap, because then, x will be less than and also \(\bf equals\) to -1, the equality part, makes the interval \(\bf include\) the -1 as well
ok so what if it was x < -4 it would be an open hole at -4 and an arrow going towards the 0 all the way past 4, or jus to the 0 ?
well, on the negative side, the closer to the 0, the bigger the number so -4 is greater than -5, -6, and onwards -4 is lesser than -3, -3 is lesser than -2 that's the negative side so the arrow and thickened line will go to the left side of -4, towards \(\large -\infty\)
so it would be <-(-)----------------- -4 -3 -2 -1 0 1 2 3 4
yeap|dw:1380134822415:dw|
ok thanks !! ♥
yw
Join our real-time social learning platform and learn together with your friends!