What are the solutions to the compound inequality 60 + 8 is less than or equal to negative 10 or 8C + 12 is greater than 20

Answer 1

To solve the compound inequality \(60 + 8 \leq -10\) or \(8C + 12 > 20\), we will solve each part separately.

1. First Inequality: \[ 60 + 8 \leq -10 \] Simplifying the left side: \[ 68 \leq -10 \] This inequality is false. There are no values of \(C\) that satisfy this part of the inequality.

2. Second Inequality: \[ 8C + 12 > 20 \] Subtracting 12 from both sides: \[ 8C > 20 - 12 \] \[ 8C > 8 \] Dividing both sides by 8: \[ C > 1 \]

Since the first inequality is false, we only consider the solution from the second inequality.

Thus, the solution to the compound inequality is: \[ C > 1 \]