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Mathematics 16 Online
OpenStudy (anonymous):

–2(x – 3) ≥ 5 – (x + 3) show your work please.

OpenStudy (skullpatrol):

Any ideas?

OpenStudy (anonymous):

yea i here

OpenStudy (anonymous):

i know you have to combine like terms but im confused on how to do that because they are on both sides.

OpenStudy (skullpatrol):

OK, simplify each side of the inequality as needed.

OpenStudy (anonymous):

-2x-3≥ 6+3x

OpenStudy (anonymous):

is that correct ?

OpenStudy (skullpatrol):

|dw:1357821648549:dw|

OpenStudy (skullpatrol):

Not quite, first work on the left hand side, using the distributive property of multiplication with respect to subtraction as follows.

OpenStudy (skullpatrol):

|dw:1357821872656:dw|

OpenStudy (anonymous):

see its done

OpenStudy (skullpatrol):

Now go to the right hand side and simplify.

OpenStudy (anonymous):

the right side would be 5x+8 . i think

OpenStudy (anonymous):

nopes u can solve it as equation and it will be x>=-4 the shortest form

OpenStudy (anonymous):

chechk out the file i uploaded..

OpenStudy (skullpatrol):

Not quite, you should be very careful with the minus sign as follows:

OpenStudy (anonymous):

@alexashea1997 look at this file

OpenStudy (anonymous):

dont mean to be rude or anything but i could barley read it.

OpenStudy (anonymous):

sorry i did a mistake sorry

OpenStudy (anonymous):

x>=+4

OpenStudy (skullpatrol):

|dw:1357822322680:dw|

OpenStudy (anonymous):

-2(x-3)>=5-(x+3) -2x+6>=-x+2 -2x+6-2>=-x+2-2 -2x+4>=-x (-1)(-2x+4)>=(-1)(-x) 2x-4>=x 2x-4-x>=x-x x-4.=0 x-4+4>=0+4 x>=4 clear now @alexashea1997

OpenStudy (anonymous):

im sorry but can you do the whole problem because you just doing one side is confusing. i promise this is not part of a test these are practice questions and not part of my grade

OpenStudy (skullpatrol):

@alexashea1997 We have to work on simplifying one side at a time, so that we will be able, later to combine both sides and get answer.

OpenStudy (skullpatrol):

Did you follow what I did above?

OpenStudy (anonymous):

yea. i get what your doing now. so the simplified equation is....... -2+6≥ 2-x ?

OpenStudy (skullpatrol):

You missed the "x" on the left hand side?

OpenStudy (anonymous):

oh yea opps !

OpenStudy (anonymous):

what the next step ?

OpenStudy (skullpatrol):

-2x + 6 ≥ 2 - x

OpenStudy (skullpatrol):

Now we can solve the entire inequality by first adding 2x to both sides.

OpenStudy (skullpatrol):

|dw:1357823443992:dw|

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