Which point is a solution of the inequality 1/2x - 4y <= 4?
a) (10,0)
b) (0,-2)
c) (4,-2)
d) (0,-1)
and the answer i picked was d
thanks
which inequality is the same as 2x - 1/2y <= 10?
a) y <=2x + 5
b) y <=4x + 20
c) y >=4x + 20
d y >=2x + 5
and the answer i picked was c
thanks
yes
To determine which point is a solution of the inequality 1/2x - 4y <= 4, you need to substitute the x and y values of each point into the inequality and check if the inequality holds true.
Let's check each option:
a) (10,0)
Substituting the x and y values into the inequality:
1/2(10) - 4(0) <= 4
5 - 0 <= 4
5 <= 4 (This is not true, so (10,0) is not a solution)
b) (0,-2)
Substituting the x and y values into the inequality:
1/2(0) - 4(-2) <= 4
0 + 8 <= 4
8 <= 4 (This is not true, so (0,-2) is not a solution)
c) (4,-2)
Substituting the x and y values into the inequality:
1/2(4) - 4(-2) <= 4
2 + 8 <= 4
10 <= 4 (This is not true, so (4,-2) is not a solution)
d) (0,-1)
Substituting the x and y values into the inequality:
1/2(0) - 4(-1) <= 4
0 + 4 <= 4
4 <= 4 (This is true, so (0,-1) is a solution)
Therefore, the point (0,-1) (option d) is the solution to the inequality 1/2x - 4y <= 4.