Solve and graph the solution set on a number line:
5x + 4 > 8x – 11 ; x ∈ Z
5x + 4 > 8x – 11
⇒ 5x – 5x + 4 > 8x – 5x – 11
(Subtracting 5x from both sides)
⇒ 4 > 3x – 11
⇒ 4 + 11 > 3x – 11 + 11 (Adding 11 to both sides)
⇒ 15 > 3x
⇒ (15/3) > (3x/3)
⇒ 5 > x
∴ The required graph is :