Question

Find the values of x in the inequation 3x – 2 > 9x – 16, where x ∈ I.

Options

• {–2, –1, 0 1, 2}

• {2, 3, 4, 5, ...........}

• {........, –2, –1, 0, 1, 2}

• {........, –2, –1, 0, 1, 2, 3}

Answer 1

{........, –2, –1, 0, 1, 2}

Explanation:

Given,

⇒ 3x – 2 > 9x – 16

⇒ 9x – 16 < 3x – 2

⇒ 9x – 3x < –2 + 16

⇒ 6x < 14

⇒ `x < 14/6`

⇒ x < 2.33

Since, x ∈ I

⇒ Solution set = {2, 1, 0, –1, ......}