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

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Does (x, y) satisfy the inequality?

Full solution

Q. Does

(2,\,7)

make the inequality

y \geq 3x + 1

true?

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Substitute values into inequality: Substitute the values $(2, 7)$ into the inequality $y \geq 3x + 1$ . The substituted inequality is $7 \geq 3(2) + 1$ .
Calculate right side: Calculate the right side of the inequality $3(2) + 1$ . Simplify this to get $3 \times 2 + 1 = 6 + 1 = 7$ .
Evaluate if inequality holds: The inequality $7 \geq 3(2) + 1$ becomes $7 \geq 7$ . Now, determine if the point $(2, 7)$ makes the inequality $y \geq 3x + 1$ true. Since $7$ is equal to $7$ , the inequality holds true.

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