Brilliant

Today Courses

Practice

Excel in math and science.

Join using Facebook Join using Google Join using email

Existing user? Log in

Your answer seems reasonable. Find out if you're right!

That seems reasonable. Find out if you're right!

Join using Facebook Join using Google Join using email

Existing user? Log in

Polynomial Inequalities

Quadratic Polynomial Inequalities

Find the range of $x$ that satisfies the inequality $x^2-14x+49 \geq 0.$

\text{all real numbers } x \neq 7

\text{all real numbers } x \neq 49

\text{all real numbers } x

x = 7

View wiki

by Brilliant Staff

What is the quadratic inequality the solution of which is $x < -4$ or $x > 6?$

x^2+2x-24 > 0

-x^2+2x+24 < 0

-x^2+2x-24 > 0

x^2+2x-24 < 0

View wiki

by Brilliant Staff

What is the solution to the following quadratic inequality where the constant $a$ is a negative number: $ax^2+12a^2x+32a^3 > 0?$

x < -{4}a \text{ or } x > -{8}a

-{4}a < x < -{8}a

x < {8}a \text{ or } x > {4}a

{8}a < x < {4}a

View wiki

by Brilliant Staff

If the range of $x$ that satisfies the inequality $ax^2+35x-30 > 0$ can be expressed as $1 < x < b,$ what is $a+b?$

1 3 2 0

View wiki

by Brilliant Staff

Which of the following integers does NOT satisfy the inequality $-3x^2+8x+35 > 0 ?$

1 -3 -1 0 4

View wiki

by Brilliant Staff

Problem Loading...

Note Loading...

Set Loading...