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Is $(7,\,8)$ a solution to the inequality $y \geq x + 2$ ? $\newline$ Choices: $\newline$ (A)yes $\newline$ (B)no

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Does (x, y) satisfy the inequality?

Full solution

Q. Is

(7,\,8)

a solution to the inequality

y \geq x + 2

?

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Substitute values into inequality: Substitute the values $(7, 8)$ into the inequality $y \geq x + 2$ . The substituted inequality is $8 \geq 7 + 2$ .
Simplify right side: Simplify the right side of the inequality $7 + 2$ to get $9$ .
Check if inequality is true: The inequality $8 \geq 7 + 2$ becomes $8 \geq 9$ after simplification. Now, determine if the inequality is true or false.
Verify point in inequality: Since $8$ is not greater than or equal to $9$ , the inequality $8 \geq 9$ is false. Therefore, the point $(7, 8)$ does not make the inequality $y \geq x + 2$ true.

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