Answer:
x ≤ 7
Explanation:
7x-50≤ -1 and -6x +70> -2
Solve separately and then put back together
7x-50≤ -1
Add 50 to each side
7x-50+50≤ -1+50
7x ≤ 49
Divide each side by 7
7x/7 ≤ 49/7
x ≤ 7
-6x +70> -2
Subtract 70 from each side
-6x +70-70> -2-70
-6x> -72
Divide by -6, remembering to flip the inequality
-6x/-6 < -72/-6
x < 12
The first is more restrictive, and since it is an and, we use the more restrictive answer