Solving Inequalities with Two Absolute Values by Testing Points
This may not be an SAT/ACT inequalities question, but it's more difficult than those seen on SAT or ACT. So, if you understand the two techniques demonstrated in this video about solving inequalities, you will become a lot better on your SAT or ACT preparation!
We are solving the inequality |x+3|+|x-1| less than or equal to 8 by breaking into cases and testing points.
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Пікірлер: 27
when doing the different cases, why does it have to be an equation (=)? is it not possible to retain the signs and solve it like a regular inequality?
Awesome thank you so much❤❤
@GlassofNumbers
6 ай бұрын
Thank you! Please help me share the video with others 😁👍
Love it ❤
@GlassofNumbers
Жыл бұрын
Thank you! Please help me share my video as well! 👍😁
If on R.H.S has > 8 then what will be the cases to solve the question
@GlassofNumbers
7 ай бұрын
Good question! The process is similar, but we want the sum of the absolute values to be greater than 8.
If we have 0 instead of 8 and it is just |x+3| + |x-1|
@GlassofNumbers
7 ай бұрын
Correct! In that case, we only consider the equation. And no need to test points since |x+3| and |x-1| must be both zero at the same time in order for the equation to be true. Can we get a solution then?
why do we need to draw the number line if u already got x=3,=5? cant u just automatically make the link to [-5,3]
@GlassofNumbers
Жыл бұрын
Because the solution could been (-inf, -5] or [3, inf), so we need to test points and check.
Nice
@GlassofNumbers
10 ай бұрын
Thank you!
does it always work?
@GlassofNumbers
Жыл бұрын
Yeah, for this type.
in VIET NAM , we have x+3+x-1 = 8 and -8 . that enought
@GlassofNumbers
11 ай бұрын
Ok!
i love you
@GlassofNumbers
4 ай бұрын
Thank you! Please help me share my video 😁👍
Abanga
@GlassofNumbers
Жыл бұрын
?
Number line before -5 y isn't it in solution
try and solve something like |x+1|>|x+3|
@GlassofNumbers
3 ай бұрын
If we move |x+3| to the left side, it is similar to the question in this video.
劉有吟
@user-ot1il3wl5r
Жыл бұрын
我是她女兒 0:02
@GlassofNumbers
Жыл бұрын
??