To determine which of the given points is a solution to the inequality, we can substitute the values of each point into the inequality and check if the inequality is satisfied.
For point (0,0):
3(0) + 2(0) = 0 ≥ 7
This is not true, so (0,0) is not a solution to the inequality.
For point (-1,5):
3(-1) + 2(5) = -3 + 10 = 7 ≥ 7
This is true, so (-1,5) is a solution to the inequality.
For point (0,-4):
3(0) + 2(-4) = 0 - 8 = -8 ≥ 7
This is not true, so (0,-4) is not a solution to the inequality.
For point (2,0):
3(2) + 2(0) = 6 + 0 = 6 ≥ 7
This is not true, so (2,0) is not a solution to the inequality.
Therefore, the only solution to the inequality is (b) (-1,5).
Which of the following would be a solution to the inequality 3x + 2y ≥ 7?
a) (0,0)
b) (-1,5)
c) (0,-4)
d) (2,0)
1 answer
1 answer