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Determine the value of [tex]\( y \)[/tex], if [tex]\( x \)[/tex] is -3.

[tex]\[ y = |x-1| \][/tex]

Answer Attempt 1 out of 2:

[tex]\[ \boxed{\phantom{} } \][/tex]


Sagot :

To determine the value of [tex]\( y \)[/tex] when [tex]\( x \)[/tex] is [tex]\(-3\)[/tex], we need to follow the given equation for [tex]\( y \)[/tex]:

[tex]\[ y = |x - 1| \][/tex]

Here's a step-by-step solution:

1. Substitute [tex]\( x = -3 \)[/tex] into the equation:
[tex]\[ y = |-3 - 1| \][/tex]

2. Perform the subtraction inside the absolute value:
[tex]\[ y = |-4| \][/tex]

3. The absolute value of [tex]\(-4\)[/tex] is [tex]\( 4 \)[/tex]:
[tex]\[ y = 4 \][/tex]

Thus, the value of [tex]\( y \)[/tex] when [tex]\( x \)[/tex] is [tex]\(-3\)[/tex] is [tex]\( 4 \)[/tex].
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