Solve the inequality and graph the solution set?

0 < x < 8

Step-by-step explanation:

| x-4| < 4

There are two solutions one positive and one negative.  Remember to flip the inequality on the negative solution

x-4 <4     and   x-4 > -4

Add 4 to each side

x -4+4 <4+4   and x-4+4 > -4+4

x < 8 and x > 0

0 < x < 8

open circles at 0 and 8 and a line connecting them

the answer is:

the answer is:

to solve the problem, we need to remember the quotient of power property, it's defined by the following relation:

if we have a quotienf of powers that have the same base, we need to keep the same base and subtract the exponent of the denominator power to the exponent of the numerator power.

so, we are given the expression:

then, calculating we have:

hence, the answer is:

have a nice day!