okay so
we're gonna move to solving linear
inequalities okay for first question we
have
step first always
rearrange
step first always rearrange
so x is the only
thing on left hand side okay to be left
alone there
okay so first we want to
remove -4 to the other side
okay so it will become a +4
solve
okay so it will become 2x>12
removing 2 from x it will
become a
division and we get our final answer x>6
okay so same goes to next question
2x will be rearranged to the left-hand
side
and -5 will be rearranged to the
right-hand side
okay so collect your x first and then
solve it
we will get 2x less than 14 okay so
removing 2 from x bring it to the other
side will become a
division okay and we will get our final
answer x<7
okay we can write it like this or
if question asks for
interval form we can write it like
this same goes to the first question if
question asks for interval form
we can write it like this all right guys
all right so we move to question 3
so we have double inequalities
so how to solve this
we're going to solve
it simultaneously it means we're going
to move -2
to the other side
simultaneously
okay so
it will be like that okay and solving it
you will get
okay so next
remove 3 to the other side as well to
both sides and you're going to have
and solve it you will get
-3 and 2. okay so check if this answer is
logic
i mean if you draw a number line
is it true that negative 3 come first
before 2
because you have to arrange this number
in ascending order
in number line okay and for final answer
for double inequalities the direction
always to the left okay so this
is correct
what about
next question okay who we're gonna
transfer to the other side first okay so
first we are going to
transfer 2 and second we are going to
transfer +4
and third we're
gonna transfer -ve
okay so how to do that first
we're going to transfer
2 because it is divided so when you
transfer to the other side it will
become a
multiplication like that okay
so the answer is -4 and 18. Next
we're going to move
we're going to transfer +4 to the
other side so it will become a
-4 and the answer
is that so next step we're going to move
negative to the other side okay but this
negative
is multiplied with x by properties
if you multiply or divide
a negative number
the direction is change.
it's going to be like that okay when you
multiply -1 or
divide -1 to the other side it
will become a +8
and -14 and x is now positive
but as i said before first
is it logic second
is the direction to the left
okay first need to check if this is
logic is it logic that
it come first before -14
NO right
okay so we need to change -14
x and 8 okay and the direction
to the left
so this is the final answer
and if you don't understand these
particular steps
okay please clarify with your class
teacher thank you
here is exercise for you the answer is
there. So enjoy
you
