Solve Linear Relationships: Finding x When 8x-14 < 5x+4

To solve this problem, we'll contemplate the mathematical relationships between the sweets.

• Step 1: Expression Setup
  Mariano's sweets can be expressed as $5x + 4$, and Iván's sweets are $8x - 14$.
• Step 2: Inequality Setup
  Given that Iván has fewer sweets, establish an inequality: $8x - 14 < 5x + 4$.
• Step 3: Solve the Inequality
  Simplify the inequality:
  $8x - 14 < 5x + 4$
  Subtract $5x$ from both sides:
  $3x - 14 < 4$
  Add 14 to both sides:
  $3x < 18$
  Divide by 3:
  $x < 6$
• Step 4: Considering Logical Constraints
  Since sweets represent physical goods, $x$ must be positive. Therefore, $x > 0$.
• Step 5: Conclusion
  Combining these inequalities, $0 < x < 6$.

Therefore, the possible number of sweets that Daniel has is $0 < x < 6$.