The complete question is,
Which point is a solution to y ≥ 2x - 1?
A) (4,2)
B) (0,2)
C) (0,-10)
D) (4,1)
Point (0, 2) is a solution to the inequality y ≥ 2x - 1.
What is inequality?
A declaration of an order relationship between two numbers or algebraic expressions, such as greater than, greater than or equal to, less than, or less than or equal to.
Given: Inequality
y ≥ 2x - 1
Now, we will put every point in the given inequality.
Option (A): (4, 2)
y ≥ 2x - 1
put (4, 2) in y ≥ 2x - 1
⇒ 2 ≥ (2 × 4) - 1
⇒ 2 ≥ 8 - 1
⇒ 2 ≥ 7
This inequality is not true.
Option (B): (0, 2)
y ≥ 2x - 1
put (0, 2) in y ≥ 2x - 1
⇒ 2 ≥ (2 × 0) - 1
⇒ 2 ≥ 0 - 1
⇒ 2 ≥ -1
This inequality is true.
Option (C): (0, -10)
y ≥ 2x - 1
put (0, -10) in y ≥ 2x - 1
⇒ -10 ≥ (2 × 0) - 1
⇒ -10 ≥ 0 - 1
⇒ -10 ≥ -1
This inequality is not true.
Option (D): (4, 1)
y ≥ 2x - 1
put (4, 1) in y ≥ 2x - 1
⇒ 1 ≥ (2 × 4) - 1
⇒ 1 ≥ 8 - 1
⇒ 1 ≥ 7
This inequality is not true.
Therefore, point (0, 2) exists a solution to y ≥ 2x - 1.
To know more about inequality refer to :
https://brainly.com/question/24372553
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