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Does the point $(1, 4)$ satisfy the inequality $6x + y \geq 10$ ? $\newline$ Choices: $\newline$ (A) yes $\newline$ (B) no

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Does (x, y) satisfy the inequality?

Full solution

Q. Does the point

(1, 4)

satisfy the inequality

6x + y \geq 10

?

\newline

Choices:

\newline

(A) yes

\newline

(B) no

Substitute values: Substitute the values $(1, 4)$ into the inequality $6x + y \geq 10$ . The substituted inequality is $6(1) + 4 \geq 10$ .
Simplify left side: Simplify the left side of the inequality $6(1) + 4$ to find the sum. This gives us $6 + 4$ , which equals $10$ .
Check if true: The simplified inequality is now $10 \geq 10$ . We need to determine if this statement is true.
Verify satisfaction: Since $10$ is equal to $10$ , the inequality $10 \geq 10$ holds true. Therefore, the point $(1, 4)$ does satisfy the inequality $6x + y \geq 10$ .

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