Is (4, 0) a solution of ?

Substitute 4 for x and 0 for y in each equation.

2x+y≥1

2(4)+(0)≥1

8≥1 Yes! This solution checks!

-y+x^{3}<10

-(0)+(4)^{3}<10

64<10 No! This solution does not check!

6x-2y>-5

6(4)-2(0)>-5

24>-5 Yes! This solution checks!

Since (4, 0) does not fulfill the second equation, this point is NOT a solution of the system.