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Does $(4,\,9)$ make the inequality y > 2x + 1 true? $\newline$ Choices: $\newline$ (A)yes $\newline$ (B)no

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Does (x, y) satisfy the inequality?

Full solution

Q. Does

(4,\,9)

make the inequality

y > 2x + 1

true?

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Substitute values into inequality: Substitute the values $(4, 9)$ into the inequality y > 2x + 1. The substituted inequality is 9 > 2(4) + 1.
Calculate right side: Calculate the right side of the inequality $2(4) + 1$ . Simplify this to get $8 + 1$ , which equals $9$ .
Evaluate inequality: The inequality now reads 9 > 9. Determine if this statement is true.
Final determination: Since $9$ is not greater than $9$ , the statement 9 > 9 is false. Therefore, the point $(4, 9)$ does not make the inequality y > 2x + 1 true.

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