Question

help please
solve the compound inequality
2x-5/4 <= - 6 or 2x-5/4 > 5

Answer 1

ok solve each inequality independently

Answer 2

2x-5/4 < -6
add 5/4 to both sides
2x < -6 + 5/4
combine fractions using common denominator
2x< -24/4 +5/4
2x< -19/4
divide by 2 on both sides
x < -19/8

2x-5/4 > 5
same steps
2x > 20/4 + 5/4
2x> 25/4
x > 25/8

solution is x<=-19/8 and x>25/8

Answer 3

thank you very much I did the 1st inequality wrong I was close but still had the wrong ans.

Answer 4

your welcome

Answer 5

hey dumbcow the denominators are wrong should it be -19/2 and 25/2
at least that is what the system says

Answer 6

oh ok i misread the problem, please use parenthesis
(2x-5)/4 <= -6 and (2x-5)/4 > 5

Answer 7

(2x-5)/4 <= -6
multiply by 4
2x-5 <= -24
add 5
2x <= -19
divide 2
x <= -19/2

Answer 8

dumbcow could I get your help on this one also
2x-3/4 <= - 9 or 2x-3/4 > 4

Answer 9

is it (2x-3)/4 ??

Answer 10

thats correct

Answer 11

ok its a big difference, please be careful when writing your questions so you get the correct answers
anyway same steps
Multiply by 4
Add 3
Divide by 2

Answer 12

ok

Answer 13

Ok i'm going to bed I'm tired of this for tonight thanks

Answer 14

haha ok
you should get
x<= -33/2 and x>19/2

Answer 15

night

Answer 16

seriously I been at this stuff all day and it has given me hell cause I am not understanding all of it so I think its time to step away for a while.