Prove or disprove each of the following statements. (a) there exists a prime number x such that x + 16 and x + 32 are also prime numbers. (b) va, b, c, m € z+, if a = b (mod m), then c = c (mod m). (c) for any positive odd integer n, 3]n or nº = 1 (mod 12). (d) there exist 100 consecutive composite integers.

answer: i think it is (1,-2)

idk

step-by-step explanation:

1. x> -5

2. x< 8

step-by-step explanation:

1. 2x> -10

divide by 2 from both sides of equation.

2x/2> -10/2

simplify, to find the answer.

-10/2=-5

x> -5 is the correct answer.

2. 3x< 24

divide by 3 from both sides of equation.

3x/3< 24/3

simplify, to find the answer.

24/3=8

x< 8 is the correct answer.

i hope this you, and have a wonderful day!