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Is $(2,\,6)$ a solution to the inequality y > 2x + 2 ? $\newline$ Choices: $\newline$ (A)yes $\newline$ (B)no

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Does (x, y) satisfy the inequality?

Full solution

Q. Is

(2,\,6)

a solution to the inequality

y > 2x + 2

?

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Substitute values: Substitute the values $(2, 6)$ into the inequality y > 2x + 2. The substituted inequality is 6 > 2(2) + 2.
Simplify right side: Simplify the right side of the inequality $2(2) + 2$ . This simplifies to $4 + 2$ , which equals $6$ .
Determine truth: The inequality now reads 6 > 6. Determine if this statement is true or false. Since $6$ is not greater than $6$ , the statement is false.

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