Complete the ordered pair (3,y) such that it is a solution for the inequality 4x+2y ≥ 20.
a.
y≥8
b.
y≥16
c.
y≥20
d.
y≥4
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Complete the ordered pair (3,y) such that it is a solution for the inequality 4x+2y ≥ 20.
a.
y≥8
b.
y≥16
c.
y≥20
d.
y≥4
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[tex]\large \bold {SOLUTION}[/tex]
Step 1: Identify the missing point in the given ordered pair.
In (3,y) the missing coordinate of the point is somewhere between the y axis.
Step 2: Assuming the solution set is all real numbers, solve the inequality by substitution.
Let x = 3
4x + 2y ≥ 20
4(3) + 2y ≥ 20
12 + 2y ≥ 20
2y ≥ 8
2y/2 ≥ 8/2
y ≥ 4
Therefore D is the best answer
.
Answer:
D. y≥4
Step-by-step Solution:
To find the value of y, we can substitute x = 3 into the inequality 4x + 2y ≥ 20 and solve for y.
4(3) + 2y ≥ 20
12 + 2y ≥ 20
2y ≥ 20 - 12
2y ≥ 8
y ≥ 4
So, the solution is y ≥ 4, which means that the ordered pair (3,y) must satisfy the inequality for all values of y greater than or equal to 4.