To determine whether \( (7 \times 14) < (49 \times 2) \) is true or false, we can calculate each side:
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Calculate \( 7 \times 14 \): \[ 7 \times 14 = 98 \]
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Calculate \( 49 \times 2 \): \[ 49 \times 2 = 98 \]
Now we can compare the two results: \[ 98 < 98 \]
This is false. Therefore, the statement \( (7 \times 14) < (49 \times 2) \) is false.