Question

$4 - 3x \geqslant 3x - 14 \: \\ where \: x \: belongs \: to \: n$
This is a Linear Inequation, so kindly answer with the number line.​

Answer 1

Step-by-step explanation:

4 - 3x ≥ 3x - 14

4 - 3x - 3x + 14 ≥ 3x - 14 - 3x + 14

18 - 6x ≥ 0

18 - 6x + 6x ≥ 0 + 6x

18/6 ≥ 6x/6

3 ≥ x

x ∈ [3,∞)

x ⟼

0 —1—2—3—4—5—6—7—8—9—10

Answer 2

Step-by-step explanation:

⠀⠀⠀⠀$\tt \blue{4 - 3x ≥ 3x - 14 }\\ \\ \green{4 - 3x - 3x + 14 ≥ 3x - 14 - 3x + 14}\\\\ \blue{18 - 6x ≥ 0}\\\\ \green{18 - 6x + 6x ≥ 0 + 6x}\\\\ \blue{18/6 ≥ 6x/6}\\\\ \green{3 ≥ x}\\\\ \blue{x ∈ [3,∞)}$

⠀⠀⠀⠀⠀⠀⠀x ⟼

⠀⠀⠀⠀0 —1—2—3—4—5—6—7—8—9—10