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Does the point $(2,\,5)$ satisfy the inequality $y \leq 3x + 8$ ? $\newline$ Choices: $\newline$ (A)yes $\newline$ (B)no

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Does (x, y) satisfy the inequality?

Full solution

Q. Does the point

(2,\,5)

satisfy the inequality

y \leq 3x + 8

?

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Substitute Values: Substitute the values of the point $(2, 5)$ into the inequality $y \leq 3x + 8$ . The substituted inequality is $5 \leq 3(2) + 8$ .
Calculate Right Side: Calculate the right side of the inequality $3(2) + 8$ . Simplify this to get $3 \times 2 = 6$ and then add $8$ to get $6 + 8 = 14$ .
Check Satisfaction: The inequality $5 \leq 3(2) + 8$ simplifies to $5 \leq 14$ . Now, determine if the point $(2, 5)$ satisfies the inequality $y \leq 3x + 8$ . Since $5$ is less than or equal to $14$ , the point $(2, 5)$ does satisfy the inequality.

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