Use algebraic and/or graphical methods to solve the inequality. -$7 x ^ { 5 }

Question

Use algebraic and/or graphical methods to solve the inequality.
-$7 x ^ { 5 } < 70 x ^ { 3 }$
A) $x < - \sqrt { 10 }$ or $x > \sqrt { 10 }$
B) $x < - \sqrt { 10 }$ or $0 < x < \sqrt { 10 }$
C) $- \sqrt { 10 } < x < \sqrt { 10 }$
D) $- 10 < x < 0$ or $0 < x < 10$

Quizplus · Accepted Answer

Divide both sides by $x^3$ (assuming $x \neq 0$) to get $7x^2 < 70$. Simplifying gives $x^2 < 10$, so $-\sqrt{10} < x < \sqrt{10}$. However, since $x^3$ was divided, $x$ cannot be zero, so the solution is $x < -\sqrt{10}$ or $0 < x < \sqrt{10}$.

Use Algebraic And/or Graphical Methods to Solve the Inequality 7x5<70x37 x ^ { 5 } < 70 x ^ { 3 }7x5<70x3

Use Algebraic And/or Graphical Methods to Solve the Inequality $7 x ^ { 5 } < 70 x ^ { 3 }$