Question
Doesthepoint(2, 2)satisfy the inequality2x + 5y ≥ 19?
Answers
GPT-4o mini
To determine if the point \((2, 2)\) satisfies the inequality \(2x + 5y \geq 19\), we can substitute \(x = 2\) and \(y = 2\) into the inequality.
1. Substitute \(x\) and \(y\):
\[
2(2) + 5(2) \geq 19
\]
2. Calculate the left side:
\[
4 + 10 = 14
\]
3. Now compare with 19:
\[
14 \geq 19
\]
Since \(14\) is not greater than or equal to \(19\), the point \((2, 2)\) does not satisfy the inequality \(2x + 5y \geq 19\).
1. Substitute \(x\) and \(y\):
\[
2(2) + 5(2) \geq 19
\]
2. Calculate the left side:
\[
4 + 10 = 14
\]
3. Now compare with 19:
\[
14 \geq 19
\]
Since \(14\) is not greater than or equal to \(19\), the point \((2, 2)\) does not satisfy the inequality \(2x + 5y \geq 19\).