The problem is to solve the inequality $-2(4a+5) > -8a-3$ and express the solution on the number line.

1. Problem Description

The problem is to solve the inequality $-2(4a+5) > -8a-3$ and express the solution on the number line.

2. Solution Steps

First, we distribute the -2 on the left side of the inequality:

$-2(4a+5) > -8a-3$

$-8a - 10 > -8a - 3$

Next, add $8a$ to both sides of the inequality:

$-8a - 10 + 8a > -8a - 3 + 8a$

$-10 > -3$

This inequality is false, since -10 is not greater than -

3. Therefore, there is no solution to this inequality.

3. Final Answer

No solution. The number line in the image is incorrect. If there is no solution, there is nothing to be plotted on a number line.