Algebra

Polynomial Inequalities

Quadratic Polynomial Inequalities

         

Find the range of xx that satisfies the inequality x214x+490.x^2-14x+49 \geq 0.

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

What is the solution to the following quadratic inequality where the constant aa is a negative number: ax2+12a2x+32a3>0?ax^2+12a^2x+32a^3 > 0?

If the range of xx that satisfies the inequality ax2+35x30>0ax^2+35x-30 > 0 can be expressed as 1<x<b,1 < x < b, what is a+b?a+b?

Which of the following integers does NOT satisfy the inequality 3x2+8x+35>0?-3x^2+8x+35 > 0 ?

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