Question

If x ∈ { – 3, – 1, 0, 1, 3, 5}, then the solution set of the inequation 3x – 2 ≤ 8 is

Options

• { – 3, – 1, 1, 3}

• { – 3, – 1, 0, 1, 3}

•  { – 3, – 2, – 1, 0, 1, 2, 3}

• { – 3, – 2, – 1, 0, 1, 2}

Answer 1

x ∈ { -3, -1, 0, 1, 3, 5}
3x – 2 ≤ 8
⇒ 3x ≤ 8 + 2
⇒ 3x ≤ 10

⇒ x ≤ `(10)/(3)`

⇒ x < `3(1)/(3)`
Solution set = { -3, -1, 0, 1, 3}