Answer:
C
Step-by-step explanation:
Using the distributive property of multiplication, we can say that 4x+4y-10 >= x+6y-4. Since we want to solve for y, we'll remove the x from one side (in this case, the left). Subtracting 4x from both sides, we get that 4y-10 >= -3x+6y-4. Separating the y, we can similarly subtract 6y from both sides to get rid of the y on the right and add 10 to both sides to get rid of the 10 on the left, resulting in -2y >= -3x+6. As we want to separate y, we must multiply our inequality by a negative number (-1/2, to be exact, as 1/(-2) = -1/2). However, when we multiply by a negative number, we must flip the sign. Thus, if we multiply both sides by -1/2, our result is y<= 1.5x+3, or C
