Question

4x+3>=2 need two answers

Answer 1

thats one

Answer 2

in absolute value he wants the absolute value and the negative reciprocal for like graphing

Answer 3

do u mean absolute value??

Answer 4

yes

Answer 5

like flip the problem and signs

Answer 6

do you have answers

Answer 7

wait i think i have made some mistake

Answer 8

i got the mistake

Answer 9

mod(4x+3)>=2
hence when 4x-3>0
the mod would be removed to give
4x+3>2
and X> -1/4
but this is only when 4x+3>0
that is for x lying btwn (-3/4 , infinity)
we now take the intersection of the 2 results
we get the intersection as (-1/4, infinity)
thats one

Answer 10

the other one would be when when 4x+3<0
ie when x lies (-infinity , -3/4)
at that moment on removing the mod we get
-4x-3>=2
hence x = (-infinity, -5/4)
taking intersection
(-infinity,-5/4)

Answer 11

sorry forgot the equal to sign
hence
x= ( -infinity , -5/4] U [-1/4, infinity)

Answer 12

\[|4x+3|\geq 2\] solve
\[4x+3\geq 2\] and
\[4x+3\leq -2\] separately that is all

Answer 13

think about what you are actually analyzing in an absolute value inequality, this will allow you to approach these problems more insightfully.