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Does $(1,\ 6)$ make the inequality $y \leq 4x + 1$ true? $\newline$ Choices: $\newline$ (A)yes $\newline$ (B)no

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Does (x, y) satisfy the inequality?

Full solution

Q. Does

(1,\ 6)

make the inequality

y \leq 4x + 1

true?

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Substitute values: Substitute the values $1, 6$ into the inequality $y \leq 4x + 1$ . The substituted inequality is $6 \leq 4(1) + 1$ .
Simplify right side: Simplify the right side of the inequality $4(1) + 1$ . This simplifies to $4 + 1$ , which equals $5$ .
Determine truth: The inequality now reads $6 \leq 5$ . Determine if this statement is true or false. Since $6$ is not less than or equal to $5$ , the statement is false.

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