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Does $(7,\,6)$ make the inequality $y \leq 5x + 2$ true? $\newline$ Choices: $\newline$ (A)yes $\newline$ (B)no

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Does (x, y) satisfy the inequality?

Full solution

Q. Does

(7,\,6)

make the inequality

y \leq 5x + 2

true?

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Substitute values into inequality: Substitute the values $(7, 6)$ into the inequality $y \leq 5x + 2$ . The substituted inequality is $6 \leq 5(7) + 2$ .
Simplify right side: Simplify the right side of the inequality $5(7) + 2$ . This results in $35 + 2$ , which equals $37$ .
Evaluate the inequality: The inequality now reads $6 \leq 37$ . Determine if this is a true statement.
Verify satisfaction: Since $6$ is less than $37$ , the statement $6 \leq 37$ is true. Therefore, the point $(7, 6)$ does satisfy the inequality $y \leq 5x + 2$ .

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