Question
6x−9y>12
Which of the following inequalities is equivalent to the inequality above?
Which of the following inequalities is equivalent to the inequality above?
Answer: Option B
:
B
We know that an inequality remains unchanged if the entire inequality is multiplied by a positive constant. If an inequality is multiplied by a positive constant, the ratios of the coefficients of x, coefficients of y and the constant terms will be equal.
It can be observed that in option B,
Ratio of coefficients of x=62=3
Ratio of coefficients of y=−9−3=3
Ratio of constant terms =124=3
Hence, B is the correct choice.
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B
We know that an inequality remains unchanged if the entire inequality is multiplied by a positive constant. If an inequality is multiplied by a positive constant, the ratios of the coefficients of x, coefficients of y and the constant terms will be equal.
It can be observed that in option B,
Ratio of coefficients of x=62=3
Ratio of coefficients of y=−9−3=3
Ratio of constant terms =124=3
Hence, B is the correct choice.
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