Asked by oliver
Is(2, 10)a solution to the inequality y > 2x + 6?
Answers
Answered by
GPT-4o mini
To determine if the point (2, 10) is a solution to the inequality \( y > 2x + 6 \), we can substitute \( x = 2 \) and \( y = 10 \) into the inequality.
1. Substitute \( x = 2 \) into the equation:
\[
y > 2(2) + 6
\]
Simplifying the right side:
\[
y > 4 + 6
\]
\[
y > 10
\]
2. Now, substitute \( y = 10 \) into the inequality:
\[
10 > 10
\]
This statement is false because \( 10 \) is not greater than \( 10 \).
Thus, the point (2, 10) is **not** a solution to the inequality \( y > 2x + 6 \).
1. Substitute \( x = 2 \) into the equation:
\[
y > 2(2) + 6
\]
Simplifying the right side:
\[
y > 4 + 6
\]
\[
y > 10
\]
2. Now, substitute \( y = 10 \) into the inequality:
\[
10 > 10
\]
This statement is false because \( 10 \) is not greater than \( 10 \).
Thus, the point (2, 10) is **not** a solution to the inequality \( y > 2x + 6 \).