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solve the inequalites, and graph; (1) t-7<-15 (2)b+12<18 (3)-8-b_<-8...

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quddoos | (Level 1) Valedictorian

Posted September 6, 2013 at 12:34 PM via web

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solve the inequalites, and graph; (1) t-7<-15 (2)b+12<18 (3)-8-b_<-8 (4)c+5.1_<-2.4 (5)6z<36 (6)a/6_>-2 (7)4(4t+2)<2(4t+4) (8)2t+10>2(4t+4) (9)3/7(2p-14)>6/7p-6  solve and check |4m+8|<12? can you show the calculationsalso please 

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aruv | High School Teacher | (Level 2) Valedictorian

Posted September 6, 2013 at 1:11 PM (Answer #1)

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 On enotes in one post answer to 10 question not possible.I solve last question only for you.

`|4m+8|<12`

If `(4m+8)>=0` then

`4m+8<12`

`4m<12-8`

`4m<4`

`m<4/4`

`m<1`

and if `(4m+8)<0` then

-(4m+8)<12

0<12+(4m+8)

-12<4m+8

-12-8<4m

-20<4m

(-20/4)<m

-5<m

Thus answer is

`-5<m<1`

Verify

let  m=-2

LHS=`|4m+8|`

`=|4xx(-2)+8|`

`=|-8+8|`

`=0``<12`

=RHS

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