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SAT - Math - Inequalities

In the xy-plane, if (0,0) is a solution to the system of inequalities above, what is the relationship between a and b? (more)

y <= -x a 
y > x b

In the xy-plane, if (0,0) is a solution to the system of inequalities above, what is the relationship between a and b?

y <= -x + a 

for (0, 0)

0 <= a


y > x + b

for (0,0)

0 > b

thus

a > b

If the system of inequalities y>= 2x + 1 and y > 1/2x -1 is graphed in the xy-plane above, which quadrant contains no solutions to the system? (more)

If the system of inequalities y>= 2x 1 and y > x/2 -1 is graphed in the xy-plane above, which quadrant contains no solutions to the system?

given:

y >= 2x + 1

y > x/2 - 1

adding

2y > 2x + 1 + x/2 - 1

2y > 3x/2

y > 3x/4 ... (1)

no solution in 4th quadrant for equation 1 as the line passes through origin and has positive slope