The solution for x in the compound inequality is 18 < x ≤ 3
The compound inequality is given as
6x − 10 ≤ 8 or 1/3x + 6 > 12
Add or subtract the constant to both sides of the compound inequality
So, we have
6x ≤ 18 or 1/3x > 6
Divide both sides of the compound inequality by the coefficient of x
So, we have
x ≤ 3 or x > 18
Rewrite as
x > 18 or x ≤ 3
Combine both inequalities
18 < x ≤ 3
Hence, the solution for x in the compound inequality is 18 < x ≤ 3
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