Question

Doesthepoint(10, 1)satisfytheinequalityy ≥ 10x + 1?

Answer 1

To determine whether the point \( (10, 1) \) satisfies the inequality \( y \geq 10x + 1 \), we can substitute the values of \( x \) and \( y \) into the inequality.

1. Substitute \( x = 10 \) and \( y = 1 \) into the inequality:
\[
y \geq 10x + 1
\]
becomes:
\[
1 \geq 10(10) + 1
\]

2. Calculate the right side:
\[
10(10) = 100
\]
So:
\[
10(10) + 1 = 100 + 1 = 101
\]

3. Now, the inequality we need to check is:
\[
1 \geq 101
\]

This statement is false. Therefore, the point \( (10, 1) \) does not satisfy the inequality \( y \geq 10x + 1 \).