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Does the point $(1, 7)$ satisfy the inequality 4x + 2y < 19? $\newline$ Choices: $\newline$ (A) yes $\newline$ (B) no

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Does (x, y) satisfy the inequality?

Full solution

Q. Does the point

(1, 7)

satisfy the inequality

4x + 2y < 19

?

\newline

Choices:

\newline

(A) yes

\newline

(B) no

Substitute values into inequality: Substitute the values $(1, 7)$ into the inequality 4x + 2y < 19. The substituted inequality is 4(1) + 2(7) < 19.
Simplify left side: Simplify the left side of the inequality $4(1) + 2(7)$ . This simplifies to $4 + 14$ , which equals $18$ .
Check if point satisfies inequality: The inequality 4(1) + 2(7) < 19 becomes 18 < 19. Now, determine if the point $(1, 7)$ satisfies the inequality 4x + 2y < 19. Since 18 < 19 is a true statement, the point $(1, 7)$ does satisfy the inequality 4x + 2y < 19.

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