A and B are sets of real numbers defined as follows. A= {z│z > 4}B= {z│z ≤ 9}Write A U B and A ∩ B using interval notation. If the set is empty, write Ø

Step-by-step explanation:

From the question we are told that

A= {z│z > 4}

B= {z│z ≤ 9}

Generally A&B are assumed to be really integers

therefore

A={5,6,7,8,.....}={z│z > 4}

B=(9,8,7,6.....)={z│z ≤ 9}

a)For

Mathematically the is given as

=

=(5,6,7,8,9)

Therefore the intercept  is Given as

b) for

Mathematically the is given as

=

=

Therefore the union i given as

=

step-by-step explanation:

step-by-step explanation:

y = | -2(-2) |     →     y = | 4 |     →     y = 4       ⇒   (-2, 4)

y = | -2(-1) |     →     y = | 2 |     →       y =   2       ⇒   (-1, 2)    

y = | -2(0) |     →     y = | 0 |     →       y = 0         ⇒   (0, 0)

y = | -2(1) |   c →     y = | -2 |     →     y =   2         ⇒   (1, 2)    

y = | -2(2) |     →     y = | - 4 |     →     y =   4         ⇒   (2, 4)