To find out if (-4, 8) is a solution to this system of inequalities, substitute/plug in the point into each inequality to see if it works out:
y > 10x - 1 Plug in (-4, 8)
8 > 10(-4) - 1
8 > -41 8 is greater than -41, so this is a solution for this inequality
y ≤ 12x + 10 Plug in (-4, 8)
8 ≤ 12(-4) + 10
8 ≤ -48 + 10
8 ≤ -38 8 is not less than or equal to -38, so this is not a solution for this inequality
(-4, 8) is not a solution to this system of inequalities because it is only a solution for one of the inequalities.