Solve the inequality and write the solution set in interval notation.
$x ^ { 8 } ( x - 2 ) \leq 0$

A) $( - \infty , 2 ]$
B) $( - \infty , - 2 ) ]$
C) $( - \infty , 2 ]$.
D) $( - 2,2 ]$
E) $( - \infty , 2 )$

Question

Solve the inequality and write the solution set in interval notation. 
 $x ^ { 8 } ( x - 2 ) \leq 0$  
 
A) $( - \infty , 2 ]$
B) $( - \infty , - 2 ) ]$
C) $( - \infty , 2 ]$.
D) $( - 2,2 ]$
E) $( - \infty , 2 )$

Quizplus · Accepted Answer

The inequality $x^8(x - 2) \leq 0$ is satisfied when $x - 2 \leq 0$, because $x^8$ is always non-negative for all real x (it's an even power of x). Thus, the solution is $x \leq 2$, which is represented by the interval notation $(-\infty, 2]$.

Solve the Inequality and Write the Solution Set in Interval x8(x−2)≤0x ^ { 8 } ( x - 2 ) \leq 0x8(x−2)≤0

Solve the Inequality and Write the Solution Set in Interval $x ^ { 8 } ( x - 2 ) \leq 0$