Question & Answer

Which of the following is a solution to the inequality below? x/14 ≥ 9

Which of the following is a solution to the inequality below?
x/14 ≥ 9

x = -56
x = -140
x = 126
x = -70

1 Answer

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Quizzma TeamApril 27, 2025

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 ).

Keep up the great work, and if you have more questions, feel free to ask!