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Does $(1,\ 10)$ make the inequality $y \leq 2x + 7$ true? $\newline$ Choices: $\newline$ (A)yes $\newline$ (B)no

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Does (x, y) satisfy the inequality?

Full solution

Q. Does

(1,\ 10)

make the inequality

y \leq 2x + 7

true?

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Substitute values into inequality: Substitute the values $(1, 10)$ into the inequality $y \leq 2x + 7$ . The substituted inequality is $10 \leq 2(1) + 7$ .
Simplify right side: Simplify the right side of the inequality $2(1) + 7$ . This simplifies to $2 + 7$ , which equals $9$ .
Evaluate the inequality: The inequality now reads $10 \leq 9$ . Determine if this statement is true or false.
Final determination: Since $10$ is not less than or equal to $9$ , the statement $10 \leq 9$ is false. Therefore, the point $(1, 10)$ does not make the inequality $y \leq 2x + 7$ true.

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