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Does $(2,\ 10)$ make the inequality y < 2x + 5 true? $\newline$ Choices: $\newline$ (A)yes $\newline$ (B)no

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Does (x, y) satisfy the inequality?

Full solution

Q. Does

(2,\ 10)

make the inequality

y < 2x + 5

true?

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Substitute values into inequality: Substitute the values $2, 10$ into the inequality y < 2x + 5. The substituted inequality is 10 < 2(2) + 5.
Simplify right side: Simplify the right side of the inequality $2(2) + 5$ . This simplifies to $4 + 5$ , which equals $9$ .
Evaluate inequality: The inequality now reads 10 < 9. Determine if this statement is true or false.
Final determination: Since $10$ is not less than $9$ , the statement 10 < 9 is false. Therefore, the point $(2, 10)$ does not make the inequality y < 2x + 5 true.

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