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Does $(1,\ 10)$ make the inequality $y \leq 6x + 4$ 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 6x + 4

true?

\newline

Choices:

\newline

(A) yes

\newline

(B) no

Substitute values into inequality: Substitute the values $1, 10$ into the inequality $y \leq 6x + 4$ . The substituted inequality is $10 \leq 6(1) + 4$ .
Simplify right side: Simplify the right side of the inequality $6(1) + 4$ . This simplifies to $6 + 4$ , which equals $10$ .
Check if inequality holds 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.

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