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Does $(3,\,1)$ make the inequality $2x + y > 7$ true? $\newline$ Choices: $\newline$ (A)yes $\newline$ (B)no

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Does (x, y) satisfy the inequality?

Full solution

Q. Does

(3,\,1)

make the inequality

2x + y > 7

true?

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Substitute Values into Inequality: Substitute the values $3, 1$ into the inequality $2x + y > 7$ . The substituted inequality is $2(3) + 1 > 7$ .
Perform Multiplication and Addition: Perform the multiplication and addition on the left side of the inequality. Calculate $2(3) + 1$ to get $6 + 1$ , which equals $7$ .
Evaluate the Inequality: The inequality $2(3) + 1 > 7$ simplifies to $7 > 7$ . Now, determine if the point $(3, 1)$ makes the inequality $2x + y > 7$ true. Since $7$ is not greater than $7$ , the statement $7 > 7$ is false.

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