Answer:
The answer is x = 2/7
Explanation:
To find the intersection between 6x - 2 and 2 - 8x, we need to solve the equation:
6x - 2 = 2 - 8x
Adding 8x to both sides, we get:
14x - 2 = 2
Adding 2 to both sides, we get:
14x = 4
Dividing both sides by 14, we get:
x = 4/14 = 2/7
To find the values of x that satisfy the inequality 7x + 6 ≤ 13, we need to solve the inequality:
7x + 6 ≤ 13
Subtracting 6 from both sides, we get:
7x ≤ 7
Dividing both sides by 7, we get:
x ≤ 1
Therefore, the intersection between 6x - 2 and 2 - 8x for values of x that satisfy 7x + 6 ≤ 13 is x = 2/7. Since 2/7 is less than or equal to 1, it satisfies the inequality.
So the answer is x = 2/7.
Hope this helps! Sorry if it's wrong. If you need more help, ask me! :]