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Does $(4,\,9)$ make the inequality $y \geq 2x + 1$ 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 \geq 2x + 1

true?

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Substitute values into inequality: Substitute the values $(4, 9)$ into the inequality $y \geq 2x + 1$ . The substituted inequality is $9 \geq 2(4) + 1$ .
Calculate right side: Calculate the right side of the inequality $2(4) + 1$ . Simplify this to get $8 + 1$ , which equals $9$ .
Determine if inequality is true: The inequality now reads $9 \geq 9$ . Determine if this makes the inequality $y \geq 2x + 1$ true. Since $9$ is equal to $9$ , the inequality holds true because the 'greater than or equal to' sign includes equality.

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