A rectangle on a coordinate plane is translated 5 units up and 3 units to the left. Which rule describes the translation? (x, y) → (x + 5, y – 3)
(x, y) → (x + 5, y + 3)
(x, y) → (x – 3, y + 5)
(x, y) → (x + 3, y + 5)

3rd option

Step-by-step explanation:

A translation of 5 units up , in the positive y- direction means add 5 to the y- coordinate.

A translation of 3 units left, in the negative x- direction means subtract 3 from the x- coordinate.

Then translation rule is

(x, y ) → (x - 3, y + 5 )

that there are 12 data points

step-by-step explanation:

3< x< 5

step-by-step explanation:

|x - 4| < 1

there are two solutions, one positive and one negative.   remember to flip the inequality when taking the negative solution

x-4 < 1       x-4 > -1

add 4 to each side

x-4+4 < 1+4       x-4+4 > -1+4

x< 5                 x> 3

3< x< 5