Respuesta :
Answer:
a) False b) True c) False d ) False e) True f) False g) False h) False
Step-by-step explanation:
a) False
x² × x³ = [tex]x^5[/tex]
When we multiply two exponential number with same base, their powers add up.
b) True
2π + 5π = π(2+5) = 7π
The coefficients of π are added together.
c) False
x² ≥ 0. For any value of x, negative or positive x² is always positive. But for x = 0, x² = 0×0 = 0
d) False
315 - 8 = 307, which is clearly an odd number.
e)True
The sum of all integers is always even.
Let m and n be two odd integers.
Thus, they can be expressed as m = 2r + 1 and n = 2s +1, where r and s are even integers.
m + n = 2r +2s + 2, which is clearly even.
f) False
Since √2 is an irrational number. It cannot belong to z, which is collection of all integer number.
√2 ∉ z
g) False
Since -1 is a negative integer, it cannot belong to [tex]z^+[/tex], as it is collection of all positive integers.
h) False
π cannot belong to Q because Q is a collection of all rational numbers and π is not a rational number. The decimal expansion of π is non- terminating that is it does not end.
