x = − 5 ∣ ( − 5 ) − 7∣ = ( − 5 ) − 7 = − 12 T h ere f ore , ∣ ( − 5 ) − 7∣ = 12
Remember that there cannot be a negative number in an absolute value.
∣ − 5 − 7∣ = ∣ − 12∣ = 12 ........
When substituting x = − 5 into ∣ x − 7∣ , we find ∣ − 12∣ = 12 . Therefore, the answer is 12, which corresponds to option C.
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