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Does $(1,\ 8)$ make the inequality $y > 3x + 3$ true? $\newline$ Choices: $\newline$ (A)yes $\newline$ (B)no

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Does (x, y) satisfy the inequality?

Full solution

Q. Does

(1,\ 8)

make the inequality

y > 3x + 3

true?

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Substitute values into inequality: Substitute the values $(1, 8)$ into the inequality $y > 3x + 3$ . The substituted inequality is $8 > 3(1) + 3$ .
Calculate right side: Calculate the right side of the inequality $3(1) + 3$ . Simplify this to get $3 + 3$ , which equals $6$ .
Evaluate inequality: The inequality $8 > 3(1) + 3$ simplifies to $8 > 6$ . Now, determine if the point $(1, 8)$ makes the inequality $y > 3x + 3$ true. Since $8$ is greater than $6$ , the statement $8 > 6$ is true.
Verify satisfaction: Since the statement $8 > 6$ is true, the point $(1, 8)$ does satisfy the inequality $y > 3x + 3$ .

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