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91Ó°ÊÓ

Problem 42

Solve the given inequality. Write the solution set using interval notation. Graph the solution set. $$ |6 x+4|>4 $$

Problem 42

Solve the given nonlinear inequality. Write the solution set using interval notation. Graph the solution set. $$ 4 x^{2}>9 x+9 $$

Problem 42

The given equation is a partial answer to a calculus problem. Solve the equation for the symbol \(y^{\prime}\). $$ y^{\prime}=2(x-y)\left(1-y^{\prime}\right) $$

Problem 42

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. \(y-2 x=0\)

Problem 42

Use the distance formula to determine whether the points \(A(-1,-5), B(2,4),\) and \(C(4,10)\) lie on a straight line.

Problem 43

Solve the given nonlinear inequality. Write the solution set using interval notation. Graph the solution set. $$ (x+1)(x-2)(x-4)<0 $$

Problem 43

Solve the given inequality. Write the solution set using interval notation. Graph the solution set. $$ \left|\frac{3 x-1}{-4}\right|<2 $$

Problem 43

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. \(-x+2 y=1\)

Problem 43

The given equation is a partial answer to a calculus problem. Solve the equation for the symbol \(y^{\prime}\). $$ 2 y y^{\prime}+2 x=y^{\prime} $$

Problem 43

Find all points each with \(x\) -coordinate 6 such that the distance from each point to (-1,2) is \(\sqrt{85}\).

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