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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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