Final answer:
The number -5 is not a solution to the inequality 6x-3>7x+4 because after solving for x, we find that x must be less than -7, and -5 is greater than -7.
Therefore, the correct answer is: option '-5'.
Step-by-step explanation:
The given inequality is 6x-3>7x+4.
To find which of the listed numbers is not a solution, we need to isolate x on one side of the inequality.
So, let's solve for x:
Subtract 6x from both sides: -3 > x + 4
Subtract 4 from both sides: -7 > x
This means that any number greater than -7 is not a solution to the inequality.
Of the numbers listed (-15, -10, -5, -8), -5 is not a solution because it is greater than -7.