5x-6>4-5x

Solve the inequality: 5x - 6 > 4 - 5x

• Add 5x to both sides: 10x - 6 > 4
• Add 6 to both sides: 10x > 10
• Divide by 10: x > 1

Solution: x ∈ (1, ∞)

Quick check: x = 2 → LHS = 4, RHS = -6, 4 > -6 (true). x = 1 → LHS = -1, RHS = -1, not true.