For natural numbers x x x , y y y , and z z z , if x y + y z = 19 xy + yz = 19 x y + yz = 19 and y z + x z = 51 yz + xz = 51 yz + x z = 51 , then the ...

Let $$ x, y $$, and $$ z $$ be real numbers satisfying: $$ 4(x^2 + y^2 + z^2) = a $$ $$ 4(x - y -...

Solve the inequality $$ |x^2 + x| - 5 <0 $$. ...

Solve the inequality $$ \sqrt{x + 7} <x $$ ...

Solve the inequality $$ \frac{x^4 + x^2 + 1}{x^2 - 4x - 5} < 0 $$ ...

Solve the inequality: $$ \frac{(x + 2)(x^2 - 2x + 1)}{4 + 3x - x^2} \geq 0 $$ and determine the...

All the values of $$x$$ satisfying the inequality $$\frac{1}{x+5} \leq \frac{1}{2x-3}$$ are: ...