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Does the point $(3,\ 8)$ satisfy the inequality $y \leq x + 4$ ? $\newline$ Choices: $\newline$ (A)yes $\newline$ (B)no

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Does (x, y) satisfy the inequality?

Full solution

Q. Does the point

(3,\ 8)

satisfy the inequality

y \leq x + 4

?

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Substitute values: Substitute the values of the point $(3, 8)$ into the inequality $y \leq x + 4$ . The substituted inequality is $8 \leq 3 + 4$ .
Simplify right side: Simplify the right side of the inequality $3 + 4$ to get $7$ .
Check if true or false: The inequality $8 \leq 3 + 4$ becomes $8 \leq 7$ after simplification. Now, determine if the inequality is true or false.
Verify point satisfaction: Since $8$ is not less than or equal to $7$ , the inequality $8 \leq 7$ is false. Therefore, the point $(3, 8)$ does not satisfy the inequality $y \leq x + 4$ .

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