Find the true equation under remapped signs — With '−' ≡ '÷', '+' ≡ '×', '÷' ≡ '−', and '×' ≡ '+', which option becomes a correct equality?

Introduction / Context:
Each printed operator represents a different real operation. To test which printed equation is true, translate every operator according to the given mapping and then evaluate with normal precedence. Only one choice will balance exactly.

Given Data / Assumptions:

• Mapping: '−' → '÷'; '+' → '×'; '÷' → '−'; '×' → '+'.
• We must check options (a)–(d) under this mapping.
• Use standard precedence after translation.

Concept / Approach:
Translate each option's left-hand side (LHS) into the real arithmetic expression and evaluate. Compare with the right-hand side (RHS). The correct option is the one for which LHS equals RHS exactly.

Step-by-Step Solution (for correct option b):
Printed: 49 - 7 + 3 ÷ 5 x 8 = 24.Translate ops: '-' → '÷', '+' → '×', '÷' → '−', 'x' → '+'.Real LHS: 49 ÷ 7 × 3 − 5 + 8.Compute precedence: 49 ÷ 7 = 7; 7 × 3 = 21.Then: 21 − 5 + 8 = 16 + 8 = 24 = RHS.

Verification / Alternative check (show a failure):
Option a translates to 49 × 7 ÷ 3 + 5 − 8 ≈ 111.33, not 20; thus it is false.

Why Other Options Are Wrong:
They evaluate to values different from their RHS after proper translation and precedence. Only option (b) balances exactly at 24.

Common Pitfalls:
Forgetting that the mapping applies to every operator occurrence or ignoring precedence after translation. Translate first, then compute.

Final Answer:
49 - 7 + 3 ÷ 5 x 8 = 24