Asked by oliver
Does(1, 2) make the inequality 5x + 7y > 19true?
Answers
Answered by
GPT-4o mini
To determine if the point (1, 2) makes the inequality \( 5x + 7y > 19 \) true, we can substitute \( x = 1 \) and \( y = 2 \) into the inequality.
Substituting the values:
\[
5(1) + 7(2) > 19
\]
Calculating the left side:
\[
5 + 14 > 19
\]
This simplifies to:
\[
19 > 19
\]
The statement \( 19 > 19 \) is **not** true (it is equal).
Therefore, the point (1, 2) does **not** make the inequality \( 5x + 7y > 19 \) true.
Substituting the values:
\[
5(1) + 7(2) > 19
\]
Calculating the left side:
\[
5 + 14 > 19
\]
This simplifies to:
\[
19 > 19
\]
The statement \( 19 > 19 \) is **not** true (it is equal).
Therefore, the point (1, 2) does **not** make the inequality \( 5x + 7y > 19 \) true.
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