Answer: The answer would be x = 19/3, 5/3
Step-by-step explanation:
Since we are finding the x intercepts, we must set the equation to equate 0. So:
0 = 3 |x-4| - 7
Then, we want to simplify the right side so it is just the absolute value, so lets start by adding 7 to both sides.
0 = 3 |x-4| - 7
+7 +7
7= 3 |x-4|
Now we divide both sides by 3.
7= 3 |x-4|
3 3
7/3 = |x-4|
Now, due to the properties of absolute value, we must solve this twice, since absolute value always leads to a positive value, we want to set up one equation where 7/3 is positive and one where it is negative.
7/3 = x-4 -7/3 = x-4
add 4 to both sides
7/3 = x-4 -7/3 = x-4
+4 +4 +4 +4
Then, you get your two x values
x= 6.333... or 19/3 AND x = 1.66666 or 5/3
