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Does the point $(1,\,5)$ satisfy the inequality $y \leq 2x + 3$ ? $\newline$ Choices: $\newline$ (A)yes $\newline$ (B)no

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Does (x, y) satisfy the inequality?

Full solution

Q. Does the point

(1,\,5)

satisfy the inequality

y \leq 2x + 3

?

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Substitute values: Substitute the values of the point $(1, 5)$ into the inequality $y \leq 2x + 3$ . The substituted inequality is $5 \leq 2(1) + 3$ .
Simplify right side: Simplify the right side of the inequality $2(1) + 3$ . This simplifies to $2 + 3$ , which equals $5$ .
Check for truth: The inequality now reads $5 \leq 5$ . We need to determine if this statement is true.
Inequality holds true: Since $5$ is equal to $5$ , the inequality holds true because the $\leq$ sign includes equality.

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