Question

Apabila t variabel pada himpunan = {1,2,3,4,5}, Tentukan penyelesaian dari masing masing pertidaksamaan berikut ini
a. t < 6
b. 2t - 1 < 10
c. 2 - t
d. 1 ≤ t < 4
e. -2t ≤ -6
f). 5 < 3t
g). 1 < t ≤ 4
h). 1 ≤ 2t ≤ 5

Answer 1

A)
t < 6
HP = {1,2,3,4,5}

b)
2t-1 < 10
2t < 10+1
2t < 11
t < 11/2
t < 5 1/2
HP = {1,2,3,4,5}

c)
2-t < 0
-t < -2
t > 2
HP = {3,4,5}

d)
1 < = t < 4
HP = {1,2,3}

e)
-2t < = -6
t = > 6/2
t = > 3
HP = {3,4,5}

f)
5 < 3t
t < 5/3
t < 1 3/5
HP = {1}