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Does $(4,\ 10)$ make the inequality $y \leq 2x + 2$ true? $\newline$ Choices: $\newline$ (A)yes $\newline$ (B)no

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Does (x, y) satisfy the inequality?

Full solution

Q. Does

(4,\ 10)

make the inequality

y \leq 2x + 2

true?

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Substitute values into inequality: Substitute the values $(4, 10)$ into the inequality $y \leq 2x + 2$ . The substituted inequality is $10 \leq 2(4) + 2$ .
Simplify right side: Simplify the right side of the inequality $2(4) + 2$ . This results in $8 + 2$ , which equals $10$ .
Check if inequality is true: The inequality now reads $10 \leq 10$ . Determine if this statement is true. Since $10$ is equal to $10$ , the inequality holds true because the $\leq$ sign includes equality.
Verify answer: Since the point $(4, 10)$ makes the inequality $10 \leq 10$ true, the answer to the question prompt is ＂yes＂.

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