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What is the value of this expression when [tex]$g=-3.5$[/tex]?

[tex]\[ 8 - |2g - 5| \][/tex]

A. 20
B. 10
C. 6
D. -4

Sagot :

GinnyAnswer
Let's find the value of the expression \( 8 - |2g - 5| \) when \( g = -3.5 \).

1. Substitute \( g = -3.5 \) into the expression:
[tex]\[ 2g = 2 \times (-3.5) = -7 \][/tex]

2. Replace \( 2g \) with \(-7\):
[tex]\[ 2g - 5 = -7 - 5 = -12 \][/tex]

3. Take the absolute value of \( -12 \):
[tex]\[ |2g - 5| = |-12| = 12 \][/tex]

4. Subtract the absolute value from 8:
[tex]\[ 8 - |2g - 5| = 8 - 12 \][/tex]

5. Calculate the result:
[tex]\[ 8 - 12 = -4 \][/tex]

Therefore, the value of the expression is \(-4\).

The correct answer is:
D. -4
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