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evaluate the following. (a) \\(\\left| 3 - 7 \ ight| = \\) (b) \\(\\lef…

Question

evaluate the following.
(a) \\(\left| 3 - 7 \
ight| = \\)
(b) \\(\left| 3 \
ight| - 7 = \\)

Explanation:

Step1: Compute inside absolute value

$3-7=-4$

Step2: Take absolute value of result

$|-4|=4$

Step3: Compute absolute value first

$|3|=3$

Step4: Subtract 7 from the result

$3-7=-4$

Answer:

(a) $4$
(b) $-4$