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Does $(2,\ 8)$ make the inequality $y \geq 3x + 2$ true? $\newline$ Choices: $\newline$ (A)yes $\newline$ (B)no

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Does (x, y) satisfy the inequality?

Full solution

Q. Does

(2,\ 8)

make the inequality

y \geq 3x + 2

true?

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Substitute values into inequality: Substitute the values $(2, 8)$ into the inequality $y \geq 3x + 2$ . The substituted inequality is $8 \geq 3(2) + 2$ .
Calculate right side: Calculate the right side of the inequality $3(2) + 2$ . Simplify this to get $3\times 2 + 2 = 6 + 2 = 8$ .
Check if inequality holds true: The inequality $8 \geq 3(2) + 2$ becomes $8 \geq 8$ . Now, determine if the point $(2, 8)$ makes the inequality $y \geq 3x + 2$ true. Since $8$ is equal to $8$ , the inequality holds true.

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