Question

conjunctions

Answer 1

1.
(a)
\[(\pi>0)\wedge(\pi<10)\quad\longrightarrow\quad 0<\pi<10\]
(b)
\[(p\geq7)\wedge(p<12)\quad\longrightarrow\quad 7\leq p<12\]
(c)
\[(x>5)\wedge(x<7)\quad\longrightarrow\quad 5<x<7\]
(d)
\[(x<4)\wedge(x<6)\quad\longrightarrow\quad x<4\]
(e)
\[(y<4)\wedge(y^2<9)\quad\longrightarrow\quad y<3\]
(f)
\[(x\geq 0)\wedge(x\leq0)\quad\longrightarrow\quad x=0\]

Answer 2

am i doing these right/?

Answer 3

seems alright to me.

Answer 4

Everything seems correct I am just confused by e)

Answer 5

Shouldnt it be y<-3

Answer 6

nopes, y can be 2 also....

Answer 7

ohhh I seee

Answer 8

for (e) i did this

\[(y<4)∧(y^2<9)\]
\[(y<4)∧[(y<3)\vee (y<-3)]\]
\[(y<4)∧[(y<3)]\]
\[(y<3)\]

Answer 9

ohhhhhhh now i see. Gotcha

Answer 10

whops

Answer 11

(e)\[(y<4)∧(y^2<9)\]
\[(y<4)∧[(y<3)\vee (y>-3)]\]
\[(y<4)∧[-3<y<3]\]
\[-3<y<3\],
is that right now?

Answer 12

hmmm That makes alot more sense

Answer 13

you are correct