A)
Multiple Choice
Which point on the axis satisfies the inequality y < x?
(1 point)
(0, 1)
(–1, 0)
(1, 0)
(0, 0)
The point (1, 0) satisfies the inequality y < x.
A)
In the graph of the inequality x – 2y ≥ 4, which is a value for x on the boundary line and the
x-axis?
(1 point)
4
–2
2
–4
To find a value for x on the boundary line and the x-axis in the inequality x - 2y ≥ 4, we set y = 0 and solve for x.
x - 2(0) ≥ 4
x ≥ 4
Therefore, a value for x on the boundary line and the x-axis is 4.
A)
If x ≥ 0 and y ≥ 0, then which quadrant holds the solution?
(1 point)
IV
III
I
II
If x ≥ 0 and y ≥ 0, it means that both x and y are positive. In terms of quadrants, this condition corresponds to Quadrant I (where both x and y are positive). Therefore, Quadrant I holds the solution.
A)
Which ordered pair is a solution of the inequality?
y ≥ 4x – 5
(1 point)
(3, 4)
(2, 1)
(3, 0)
(1, 1)
To determine which ordered pair is a solution of the inequality y ≥ 4x - 5, we substitute the x and y values into the inequality and check if the inequality is true.
Let's check each option:
Option (3, 4):
4 ≥ 4(3) - 5
4 ≥ 12 - 5
4 ≥ 7
This is false.
Option (2, 1):
1 ≥ 4(2) - 5
1 ≥ 8 - 5
1 ≥ 3
This is false.
Option (3, 0):
0 ≥ 4(3) - 5
0 ≥ 12 - 5
0 ≥ 7
This is false.
Option (1, 1):
1 ≥ 4(1) - 5
1 ≥ 4 - 5
1 ≥ -1
This is true.
Therefore, the ordered pair (1, 1) is a solution of the inequality.