Ratsionaalarvud
I. Hulk ja selle elemendid.
1) Olgu x naturaalarv. Millisesse hulka peab xkuuluma, et antud lause oleks tõene?
Näide. Kui 1 < x < 10, siis x {2; 3; 4; 5; 6; 7; 8;9}.
| a) 0 < x < 3 |
x  {...............................} |
| b) x > 93, x on kahekohaline paarisarv |
x {...............................} |
| c) x < 20, x on algarv |
x {...............................} |
| d) 20 < x < 40, x jagub 4-ga |
x {...............................} |
| e) 14 < x < 15 |
x {...............................} |
| f) 25 < x < 100, x jagub 20-ga |
x {...............................} |
| g) x > 15, x on kahekohaline 15-ga jaguv arv____ |
x {...............................} |
| h) x < 10, x on kordarv |
x {...............................} |
| i) x on kolmekohaline 300-ga jaguv arv |
x {...............................} |
| j) 11 < x < 20, x jagub 4-ga |
x {...............................} |
2) Millist võrratust peab naturaalarv y rahuldama, et ta võiks võrdudamistahes elemendiga antud hulgast?
Näide. Kui y {1; 2; 3}, siis 0 < y< 4.
| a) y {1; 2} |
........ < y < ........ |
k) y {30} |
........ < y < ........ |
| b) y {2; 3; 4; 5} |
........ < y < ........ |
l) y {8; 7} |
........ < y < ........ |
| c) y {7; 8} |
........ < y < ........_ |
m) y {1; 3; 4; 2} |
........ < y < ........ |
| d) y {15; 16; 17} |
........ < y < ........ |
n) y {3; 2} |
........ < y < ........ |
| e) y {1; 2; 3; 4; 5} |
........ < y < ........ |
o) y {13; 10; 11; 14; 12} |
........ < y < ........ |
| f) y {99; 100; 101} |
........ < y < ........ |
p) y {20; 19; 21} |
........ < y < ........ |
| g) y {3; 4; 5} |
........ < y < ........ |
r) y {100; 99; 98; 97; 96} |
........ < y < ........ |
| h) y {13; 14; 15; 16} |
........ < y < ........ |
s) y {2; 1} |
........ < y < ........ |
| i) y {19; 20} |
........ < y < ........ |
t) y {100} |
........ < y < ........ |
| j) y {25; 26; 27; 28} |
........ < y < ........ |
u) y {6; 9; 7; 8} |
........ < y < ........ |
3) Millisesse hulka peab kuuluma naturaalarv z, et ta rahuldaks antudvõrratust?
| a) z < 3 |
z {..........................}__ |
f) 1 < z < 4 |
z {............................} |
| b) 4 < z < 6 |
z {..........................}__ |
g) 5 < z < 10 |
z {............................} |
| c) 24 < z < 28__ |
z {..........................}__ |
h) 3 < z < 8 |
z {............................} |
| d) 5 < z < 9 |
z {..........................}__ |
i) 1 < z < 6 |
z {............................} |
| e) 2 < z < 7 |
z {..........................} |
j) 11 < z < 13__ |
z {............................} |