Final answer:
To perform the given operation, multiply both sides of the inequality by -1/2 and reverse the sign of the inequality. The true inequality that matches the result is 7.5>3.
Step-by-step explanation:
To perform the given operation, we need to multiply both sides of the inequality -15<-6 by -1/2.
When we multiply both sides of an inequality by a negative number, the inequality always reverses its sign.
So, multiplying -15 by -1/2 gives us 7.5, and multiplying -6 by -1/2 gives us 3.
The true inequality that matches the result is 7.5>3.