Question

NEED TO KNOW ASAP Which of the following is a quadratic inequality? Oy<2x+7 Oy Oy

Answer 1

Answer:

  (c)  y < x^2 -5x

Step-by-step explanation:

A quadratic inequality is one that involves a quadratic polynomial.

Identification

The degree of a polynomial is the value of the largest exponent of the variable. When the degree of a polynomial is 2, we call it a quadratic.

For the following inequalities, the degree of the polynomial in x is shown:

• y < 2x +7 . . . degree 1
• y < x^3 +x^2 . . . degree 3
• y < x^2 -5x . . . degree 2 (quadratic)

Application

We see that the degree of the polynomial in x is 2 in ...

   y < x^2 -5x

so that is the quadratic inequality you're looking for.

__

Additional comment

When a term involves only one variable, its degree is the exponent of that variable: 5x^3 has degree 3. When a term involves more than one variable, the degree of the term is the sum of the exponents of the variables: 8x^4y3 has degree 4+3=7.