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Evaluate the expression [tex]|3x-1|[/tex] for [tex]x=-2[/tex].

A. -7
B. 7
C. 5
D. -5

Sagot :

GinnyAnsweridn
To evaluate the expression [tex]\( |3x - 1| \)[/tex] for [tex]\( x = -2 \)[/tex], follow these steps:

1. Substitute [tex]\( x = -2 \)[/tex] into the expression [tex]\( 3x - 1 \)[/tex]:
[tex]\[ 3(-2) - 1 \][/tex]

2. Calculate the value inside the absolute value function:
[tex]\[ 3 \cdot (-2) - 1 = -6 - 1 = -7 \][/tex]

3. Apply the absolute value function [tex]\( | \cdot | \)[/tex]:
[tex]\[ |-7| = 7 \][/tex]

So, the value of the expression [tex]\( |3x - 1| \)[/tex] for [tex]\( x = -2 \)[/tex] is [tex]\( 7 \)[/tex]. Thus, the correct answer is [tex]\((B)\)[/tex].
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