Question

List the elements of the following sets:

{x : 4 – 2x > -6, x ∈ Z}

Answer 1

{x : 4 – 2x > -6, x ∈ Z}

4 - 2x >-6

-4 + 4 -2x > -6 -4

(Subtracting 4 from both sides)

-2x > -10

-2x + 2x + 10 > -10 + 2x + 10

[Adding 2x + 10 to both sides]

+10 > 2x

`(10)/(2)` > x

5 > x

∴ Elements of the given set { x : 4 - 2x > - 6, x ∈ Z} are 4, 3, 2, 1, 0, -1.......