Question

Three times the square of a number is greater than a second number. the square of the second number increased by 6 is greater than the first number. which system of inequalities represents these criteria? one-thirdx2 > y and y2 + 6 < x one-thirdx2 > y and y2 + 6 > x 3x2 > y and y2 + 6 > x 3x2 > y and y2 + 6 < x

Answer 1

The system of inequalities that represents the given criteria are 3x² > y and y² + 6 > x.

How to solve Algebra Word Problems?

Let the first number be x and the second number be y.

We are told that three times the square of a number is greater than a second number. Thus; 3x² > y

Now, The square of the second number increased by 6 is greater than the first number. Thus;

y² + 6 > x

Thus, the system of inequalities that represents the given criteria are 3x² > y and y² + 6 > x.

where;

x is first number and y is second number.

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