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Does $(1,\,1)$ make the inequality 6x + 11y < 19 true? $\newline$ Choices: $\newline$ (A)yes $\newline$ (B)no

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Does (x, y) satisfy the inequality?

Full solution

Q. Does

(1,\,1)

make the inequality

6x + 11y < 19

true?

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Substitute Values: Substitute the values $(1, 1)$ into the inequality 6x + 11y < 19. The substituted inequality is 6(1) + 11(1) < 19.
Simplify Left Side: Simplify the left side of the inequality $6(1) + 11(1)$ . This simplifies to $6 + 11$ , which equals $17$ .
Check Truth Value: The inequality now reads 17 < 19. Determine if this is a true statement to see if the point $(1, 1)$ makes the inequality 6x + 11y < 19 true. Since $17$ is less than $19$ , the statement is true.

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