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label each statements as true or false. if false correct the underline portion. (1)if...

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quddoos | (Level 1) Valedictorian

Posted September 15, 2013 at 11:07 AM via web

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label each statements as true or false. if false correct the underline portion. (1)if 3<x,then 3+y<x+y (2)if |w-7| <-3, then w-7>-3 or w-7<3 (3)if -4<-2t+6<10, then 2>t+6>-5

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aruv | High School Teacher | (Level 2) Valedictorian

Posted September 15, 2013 at 11:19 AM (Answer #1)

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`1.`  If  3 <x  then  3+y <x+y      true.

3 < 5

3+7 <5+7

10 <12

`2.`  False

| w-7 | < -3

if  w-3 >= 0  , then

w-7 <-3

If   w-7 <0

-(w-7) <-3

w-7>3

`3.`  False

-4 < -2t+6 < 10

(i)

-4 < -2t+6

2t-6 <4

2t<10

t<5

t+6 <5+6

t+6 <11

(ii)

-2t+6 <10

-2t <10-6

-2t<4

-4<2t

-2<t

-2+6<t+6

4<t+6

i.e.

4<t+6<11

or

11 >t+6>4

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