Question

1. which property should be used to solve the inequality 8x > 24? subtraction property of inequality multiplication property of inequality addition property of inequality division property of inequality

Explanation:

To solve \(8x > 24\), we need to isolate \(x\). The coefficient of \(x\) is 8, so we divide both sides of the inequality by 8 (a positive number). The division property of inequality states that if we divide both sides of an inequality by a positive number, the direction of the inequality sign remains the same. This is the property needed here. The subtraction and addition properties involve adding or subtracting a number, which isn't helpful here. The multiplication property would involve multiplying, but we need to divide, so the division property of inequality is correct.

Answer:

D. division property of inequality