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Is $(1,\,5)$ a solution to the inequality $y \leq 4x + 1$ ? $\newline$ Choices: $\newline$ (A)yes $\newline$ (B)no

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Does (x, y) satisfy the inequality?

Full solution

Q. Is

(1,\,5)

a solution to the inequality

y \leq 4x + 1

?

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Substitute Values: Substitute the values $1, 5$ into the inequality $y \leq 4x + 1$ . The substituted inequality is $5 \leq 4(1) + 1$ .
Simplify Right Side: Simplify the right side of the inequality $4(1) + 1$ to get $5$ .
Check for Truth: The inequality now reads $5 \leq 5$ . Determine if this is a true statement.
Verify Solution: Since $5$ is equal to $5$ , the inequality $5 \leq 5$ holds true. Therefore, the point $(1, 5)$ is a solution to the inequality $y \leq 4x + 1$ .

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