91Ó°ÊÓ

Solve the given nonlinear inequality. Write the solution set using interval notation. Graph the solution set. $$ (x-1)^{2}(x+3)(x-5) \geq 0 $$

Find any intercepts of the graph of the given equation. Determine whether the graph of the equation possesses symmetry with respect to the \(x\) -axis, \(y\) -axis, or origin. Do not graph. \(y=x^{3}\)

Solve the given inequality. Write the solution set using interval notation. Graph the solution set. $$ |x-(-2)|<0.001 $$

Find any intercepts of the graph of the given equation. Determine whether the graph of the equation possesses symmetry with respect to the \(x\) -axis, \(y\) -axis, or origin. Do not graph. \(y=x^{2}-4\)

Solve the given nonlinear inequality. Write the solution set using interval notation. Graph the solution set. $$ \frac{5}{x+8}<0 $$

Find the midpoint \(M\) of the line segment joining the points \(A\) and \(B\). $$ A(4,1), B(-2,4) $$

Find the midpoint \(M\) of the line segment joining the points \(A\) and \(B\). $$ A\left(\frac{2}{3}, 1\right), B\left(\frac{7}{3},-3\right) $$

Find any intercepts of the graph of the given equation. Determine whether the graph of the equation possesses symmetry with respect to the \(x\) -axis, \(y\) -axis, or origin. Do not graph. \(x=2 y^{2}-4\)

Solve the given nonlinear inequality. Write the solution set using interval notation. Graph the solution set. $$ \frac{10}{x^{2}+2}>0 $$

Solve the given nonlinear inequality. Write the solution set using interval notation. Graph the solution set. $$ \frac{5}{x} \geq-1 $$