write the solution in the set builder notation
-3x-8

Question

write the solution in the set builder notation
-3x-8<=-23

tamtoan · Answer

add -3x to both side , after than add -23 to both side...now what do you get ?

anonymous · Answer

-11<=-31

tamtoan · Answer

where's the x ? ..each time you add something to 1 side, you have to add the same thing to the other side of the equation too, can you try that again?

tamtoan · Answer

sorry, it should be add 3x and 23 ...forget the - sign

anonymous · Answer

31x

tamtoan · Answer

ok try this , your inequality is :

-3x - 8 <= -23

can you add 3x to both side of the inequality and tell me what you get?

anonymous · Answer

im so confused

tamtoan · Answer

add 3x to both side means...
your original one is :                      -3x - 8 <= -23
add 3x to both side is:           -3x - 8 +3x <= -23 + 3x

now can you simplify this ? what is -3x + 3x = ?

anonymous · Answer

x

tamtoan · Answer

what is -3football + 3football ? or  -3cups + 3cups? ...x is a varible, think of it like an object.

anonymous · Answer

attachment

tamtoan · Answer

yea, then -3x + 3x = 0 ..
so let's write again :       -3x - 8 <= -23
                            -3x - 8 + 3x <= -23 + 3x
                                   -8          <= -23 + 3x   (since the -3x + 3x = 0 )

now add + 23 to both side of the inequality, can you show me ?

anonymous · Answer

31

tamtoan · Answer

it's both side..remember i show you earlier that you add 3x to both side ? 
to add 23 to both side
you have to write like this ....
                            -8  <= -23 + 3x
                    -8 + 23  <- -23 + 3x + 23
can you simplify that ?