Difficulty: Easy
Correct Answer: x, -, =
Explanation:
Introduction / Context:
This is a sign-substitution puzzle: each asterisk must be replaced by a mathematical sign (in the sequence suggested by an option) so that the resulting statement is a true equality.
Given Data / Assumptions:
Concept / Approach:
Try each option by substituting signs left to right and check whether the resulting statement evaluates to a true equation.
Step-by-Step Solution:
Option D → 6 x 4 - 12 = 12Compute: 6 × 4 = 24; 24 − 12 = 12; equality holds.Other options either do not yield an equality or give false statements (e.g., 6 ÷ 4 − 12 = 12 is false).
Verification / Alternative check:
Re-evaluating with precedence confirms only Option D balances the equation.
Why Other Options Are Wrong:
They evaluate to unequal LHS/RHS values (e.g., Option A gives −10.5 = 12, false).
Common Pitfalls:
Forgetting that one of the inserted signs can be ‘‘=’’ and must appear in the correct third position.
Final Answer:
x, -, = produces a true statement: 6 × 4 − 12 = 12.
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