| 2/3 x – 4 | = 10
A. Ø
B. {-21, 21}
C. {-9, 21}
D. {-4, 9 1/3}
E. {-21, 9}
What are the solutions to the equation | 2/3 x – 4 | = 10?
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| 2/3 x – 4 | = 10
A. Ø
B. {-21, 21}
C. {-9, 21}
D. {-4, 9 1/3}
E. {-21, 9}
To solve the equation |2/3 x – 4| = 10, we need to consider both scenarios for the absolute value.
1. First case:
( 2/3 x – 4 = 10 )
– Add 4 to both sides:
( 2/3 x = 14 )
– Multiply by ( 3/2 ):
( x = 21 )
2. Second case:
( 2/3 x – 4 = -10 )
– Add 4 to both sides:
( 2/3 x = -6 )
– Multiply by ( 3/2 ):
( x = -9 )
Therefore, the solutions are ( x = 21 ) and ( x = -9 ).
The correct answer is C. {-9, 21}.