Which of the following is a solution to the inequality below?
x/14 ≥ 9
x = -56
x = -140
x = 126
x = -70
Which of the following is a solution to the inequality below? x/14 ≥ 9
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Which of the following is a solution to the inequality below?
x/14 ≥ 9
x = -56
x = -140
x = 126
x = -70
To solve the inequality ( frac{x}{14} geq 9 ), follow these steps:
1. Multiply both sides by 14 (to eliminate the fraction):
[
x geq 9 times 14
]
2. Calculate ( 9 times 14 ):
[
9 times 14 = 126
]
3. Thus, we have:
[
x geq 126
]
Now, let’s check each option to see which one meets this condition:
– ( x = -56 ): Not a solution (since (-56 < 126))
– ( x = -140 ): Not a solution (since (-140 < 126))
– ( x = 126 ): This is a solution (since (126 geq 126))
– ( x = -70 ): Not a solution (since (-70 < 126))
The correct answer is ( x = 126 ).
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