00:01
So how do i solve and graph a compound inequality? well, i'm going to solve each inequality first.
00:07
So solving inequality just means getting x by itself.
00:11
So just like an equation, move over the four, opposite of adding four, subtract four to both sides.
00:17
X and two, does subtracting flip inequality? it does not.
00:22
What flips inequality when i multiply or divide by a negative number? so inequality flips only when multiplicity flips.
00:32
Or divided by a negative number.
00:36
So x is greater than two.
00:39
Let's say i just had two right here.
00:42
Open circle, since i'm just strictly greater than, and i'm shading all the way to the right.
00:47
Three, four, five, six, whatever else i have.
00:51
Now let's solve my other one.
00:53
And five minus x is less than 10.
00:56
So first thing i would do, technically i'm adding five to x.
01:00
So i'm going to subtract five from both sides.
01:02
Negative x is less than in five...