he solution (2, 1)
is feasible for which of the following inequalities?(1 point)
Responses
−2x−4y>−6
negative 2 x minus 4 y is greater than negative 6
−2x+4y≥0
negative 2 x plus 4 y is greater than or equal to 0
2x−4y<0
2x−4y<0
2x+4y≤6
Let's test the point (2, 1) against each inequality to determine which ones it satisfies:
1. For the inequality:
−2x − 4y > −6
Replace x with 2 and y with 1:
−2(2) − 4(1) > −6
−4 − 4 > −6
−8 > −6 (Which is false)
2. For the inequality:
−2x + 4y ≥ 0
Replace x with 2 and y with 1:
−2(2) + 4(1) ≥ 0
−4 + 4 ≥ 0
0 ≥ 0 (Which is true)
3. For the inequality:
2x − 4y < 0
Replace x with 2 and y with 1:
2(2) − 4(1) < 0
4 − 4 < 0
0 < 0 (Which is false because 0 is not less than 0)
4. For the inequality:
2x + 4y ≤ 6
Replace x with 2 and y with 1:
2(2) + 4(1) ≤ 6
4 + 4 ≤ 6
8 ≤ 6 (Which is false)
Therefore, the solution (2, 1) is feasible or satisfies only the second inequality:
−2x + 4y ≥ 0