What value of x is in the solution set of 9(2x + 1) < 9x - 18?

Solution:

Given Inequality is:

9(2x + 1) < 9x - 18

⇒ 18x + 9 < 9x - 18

Combine like terms, we get

⇒ 18x - 9x < -18 - 9

⇒ 9x < -27

Divide with 9 on both sides, we get

⇒ x < -3

Now the solution can be discussed on the following sets:

(i) On a set of natural numbers: no solution exists.

(ii) On a set of integers: x ∈ { ….. -5, -4, -3}

(iii) On a set of real numbers: x ∈ (-∞, -3)

What value of x is in the solution set of 9(2x + 1) < 9x - 18?

Summary:

The value of x is in the solution set of 9(2x + 1) < 9x - 18 can be, (i) On a set of natural numbers: no solution exists, (ii) On a set of integers: x ∈ { ….. -5, -4, -3} and (iii) On a set of real numbers: x ∈ (-∞, -3).