# List the Elements of the Following Sets : {X : 4 – 2x > -6, X ∈ Z} - Mathematics

Sum

List the elements of the following sets:

{x : 4 – 2x > -6, x ∈ Z}

#### Solution

{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.......

Is there an error in this question or solution?

#### APPEARS IN

Selina Concise Mathematics Class 8 ICSE
Chapter 6 Sets
Exercise 6 (A) | Q 5.6 | Page 65