Which of the following are solutions to the inequality below? Select all that apply.
7 + t/12 < 4
t = -132
t = -48
t = -96
t = -24
Which of the following are solutions to the inequality below? Select all that apply. 7 + t/12 < 4 t = -132 t = -48 t = -96 t = -24
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To solve the inequality ( 7 + frac{t}{12} < 4 ), first, isolate ( t ):
1. Subtract 7 from both sides:
[
frac{t}{12} < 4 - 7
]
[
frac{t}{12} < -3
]
2. Multiply both sides by 12 (note: since 12 is positive, the inequality direction does not change):
[
t < -36
]
Now we can test each given solution to see if it satisfies ( t < -36 ):
– ( t = -132 ): Yes, (-132 < -36)
– ( t = -48 ): Yes, (-48 < -36)
– ( t = -96 ): Yes, (-96 < -36)
– ( t = -24 ): No, (-24 not< -36)
Thus, the solutions to the inequality are:
– ( t = -132 )
– ( t = -48 )
– ( t = -96 )
Feel free to ask if you have more questions or need further assistance!