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Does $(9, 4)$ make the inequality $y \geq 6x + 7$ true? $\newline$ Choices: $\newline$ (A) yes $\newline$ (B) no

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Does (x, y) satisfy the inequality?

Full solution

Q. Does

(9, 4)

make the inequality

y \geq 6x + 7

true?

\newline

Choices:

\newline

(A) yes

\newline

(B) no

Substitute values into inequality: Substitute the values $9, 4$ into the inequality $y \geq 6x + 7$ . The substituted inequality is $4 \geq 6(9) + 7$ .
Calculate right side: Calculate the right side of the inequality $6(9) + 7$ . Simplify this to get $54 + 7$ .
Add values: Add $54$ and $7$ to get $61$ . The inequality now reads $4 \geq 61$ .
Check inequality: Determine if the point $(9, 4)$ makes the inequality $4 \geq 61$ true. Since $4$ is not greater than or equal to $61$ , the statement is false.

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