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Is $(1, 1)$ a solution to the inequality 7x + 9y < 20 ? $\newline$ Choices: $\newline$ (A)yes $\newline$ (B)no

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Does (x, y) satisfy the inequality?

Full solution

Q. Is

(1, 1)

a solution to the inequality

7x + 9y < 20

?

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Substitute values into inequality: Substitute the values $(1, 1)$ into the inequality 7x + 9y < 20. The substituted inequality is 7(1) + 9(1) < 20.
Simplify left side: Simplify the left side of the inequality $7(1) + 9(1)$ to get $7 + 9$ .
Find sum: Add the numbers together to find the sum. $7 + 9$ equals $16$ .
Check if statement is true: The inequality now reads 16 < 20. Determine if this is a true statement.
Verify point satisfies inequality: Since $16$ is less than $20$ , the inequality 16 < 20 is true. Therefore, the point $(1, 1)$ does make the inequality 7x + 9y < 20 true.

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