Point (0, 2) is a solution to the inequality y ≥ 2x - 1.
What is Inequality?
- It is used to compare two equations or two numbers.
- It consists of greater than, less then, greater than equal to and less than 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) is a solution to y ≥ 2x - 1.
Learn more about the Inequality here: https://brainly.com/question/26837070
#SPJ2
