Multiple choice

Directions: In the given question, two quantities are given, one as Quantity I and another as Quantity II. You have to determine the relationship between the two quantities and choose the appropriate option. 4x2 - 6x = 2x - 4 Quantity A: 3x + 2 Quantity B: 4x + 6

  1. Quantity A is less than Quantity B.

  2. Quantity A is greater than Quantity B.

  3. The relationship cannot be determined.

  4. Quantity B is equal to Quantity A.

  5. Quantity B is greater than or equal to Quantity A.
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A Correct answer
AI explanation

Rearrange the equation into standard form to get four x squared minus eight x plus four equals zero, which simplifies to x minus one squared equals zero, meaning x equals one. Substituting x equals one into quantity A gives three times one plus two, which is five, and substituting it into quantity B gives four times one plus six, which is ten. Since five is less than ten, quantity A is less than quantity B.

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