Question

What is the solution to the equation? 3|x| − 1 = 8

x = 3 or 9


x = −9 or 9


x = −3 or 3


x = −3 or −9

please help

Answer 1

The equation is 3|x| - 1 = 8. To solve this equation, we first need to consider the absolute value of x.

The absolute value of x is defined as |x| = x for x ≥ 0, and |x| = -x for x < 0.

We have 3|x| - 1 = 8, so we have to consider two cases:

x ≥ 0: in this case, |x| = x and we have 3x - 1 = 8, which gives x = 3 or x = 9.

x < 0: in this case, |x| = -x and we have 3(-x) - 1 = 8, which gives -3x - 1 = 8, and then x = -3 or x = -9.

So the solution to the equation is x = 3 or 9 or x = -3 or -9.

Explanation:

Answer 2

x = 3

Explanation:

3|x|- 1= 8

=3x = 8 + 1

=3x = 9

=3x/3 = 9/3

x = 3.