Solve the equation by inspection. | 6 x $-$ 30 | = 0
A) x = $-$ 5
B) x = 5
C) x = 5, x = $-$ 5
D) $\phi$

Question

Quizplus · Accepted Answer

By inspection, we can see that the absolute value of anything cannot be equal to zero unless that thing inside the absolute value is equal to zero. Therefore, we have:

6x - 30 = 0 or -6x + 30 = 0

From the first equation, we get

6x = 30

x = 5

From the second equation, we get

-6x = -30

x = 5

Therefore, x = 5 is the only solution.

Solve the Equation by Inspection −-− 30 | = 0 A) X =

Solve the Equation by Inspection $-$ 30 | = 0
A) X =