Please help me solve this compound inequality and write down the solution in interval notation. I have been trying to solve it myself for the last hour but it is just driving me crazy, thank you.
2x – 4 < 0 or 6 – x < 3
2007-02-26 04:13:52 · 4 answers · asked by CHRISTOPHER R 1 in Education & Reference ➔ Homework Help
2x - 4<0
2x < 4 (negative 4 becomes positive 4 when u move it to the other side)
x < 4/2
x < 2
6-x <3
-x < 3-6 (just like b4 positive 6 becomes negative when u move it to the other side)
-x < -3
x > 3
2007-02-26 04:21:18 · answer #1 · answered by Anonymous · 0⤊ 0⤋
2x - 4 < 0
2x < 4
- x < 4/2
x < 2
so solution x E (-oo , 2 )
6 - x < 3
-x < 3 - 6
-x < - 3
x > 3
so solution x E (3, +oo)
notice (oo =infinity)
2007-02-26 12:35:32 · answer #2 · answered by max 1 · 0⤊ 0⤋
2x-4<0
add 4 to both sides
2x<4
divide by 2
x<2
Interval notation:
(-infinity, 2) I don't know how to show the sign for inifity on the computer, but it looks like a sideways 8
6-x<3
subtract 6 from both sides
-x<-3
divide by -1 on both sides. dividing by a negative number changes the inequality direction.
x>3
Inteval notation:
(3, infinity)
2007-02-26 12:22:02 · answer #3 · answered by Alisa 3 · 0⤊ 0⤋
Try harder and spend more time in shool listening to the teacher. AND DO YOUR OWN HOMEWORK.
2007-02-26 12:35:57 · answer #4 · answered by BARROWMAN 6 · 0⤊ 0⤋