Hi I'm new to this forumThere are at least 3 of us, who (each) weigh at least 200lbs.

and I need help with these exercises I got from the revision sheet

1) NEGATE the following statements:

i:

partial ideas: statementA: at least 3 of us; statementB: (weigh) at least 200lbs

Whole setntence:A^B

ii:If I graduate I'll go to college or travel around the world.

partial ideas: statementA: I graduate; statementB: I'll go to college, statementC: I'll travel

Whole sentence: ?A->(BvC)? or ?(A-->B)v(A-->C)

iii:I will be lying in bed and resting, or working.

partial ideas: statementA: I will be lying in bed; statementB: I will be resting; statementC: I will be working

Whole sentence:(A^vB)C

iv:A line is perpendicular to a plane if and only if it is perpendicular to all lines in that plane.

partial ideas: statementA: a line is perpendicular to a plane; statementB: a line is perpendicular to all lines in that plane

Whole setntence:A<-->B

v:Everyone caught at least 10 fish (each).

partial ideas: statementA: caught at least 10 fish

Whole setntence:Vx :A

vi:Everyone, in each fishing session, caught at least 10 fish (each in each session).

NO IDEA

vii:At least one of us (separately), caught at least 10 fish, in at least one fishing session (each).

((A possible situation that would satisfy the statement could be: 9 of us caught more than 12 fish each, each in 8 of 11 sessions. .We caught 9*12*8 fish + the ones where a single person

caught less than 10 fish in one session, since we were, let's say, 13 people and had 11 sessions. ))

partial ideas: at least one of usEx;;; statementA: caught at least 10 fish;;; ?in at least one fishing sessionis statement?BorEy

viii:Vc>0,Ed>0, where|x-a|<d-->|f(x)-L|<c

ix: Vxis an element ofREyis an element ofR,x+y=0

V: universal quantifierE: existential quantifier

2)

Determine thedomainsfor the statement forms

i:A(x)vB(x)ii:A'(x)iii:B(x)-->A(x)

whereA(x): (x+3)/sqrt(x+3)=2;B(x): log(2-x)=1;C(x): (x/sqrt(2-log(x)))+((x+1)/(x-2004))=1

well i don't really get this either but i guess

normally following the algebra rules the domains for A,B,C if they're treated like functions would beA: ( -3; +infinity );B: ( -infinity; 2 );C: ( 0; 100 )

3)

Determine thetruth setsfor the statement formsi:A'(x)^C(x);ii:B(x)-->A(x)

whereA(x): x^2-9<0,B(x):3x+3(greater than/equal to)0,C(x):|2x-5|>4

no idea what the truth sets are

Thank you, I really appreciate your help