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Is $(1,\,1)$ a solution to the inequality 2x + 18y < 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

2x + 18y < 20

?

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Substitute values into inequality: Substitute the values $(1, 1)$ into the inequality 2x + 18y < 20. The substituted inequality is 2(1) + 18(1) < 20.
Perform calculations: Perform the calculations on the left side of the inequality. Simplify $2(1) + 18(1)$ to get $2 + 18$ .
Find the sum: Add the numbers together to find the sum. $2 + 18$ equals $20$ .
Evaluate the inequality: The inequality 2(1) + 18(1) < 20 becomes 20 < 20. Now, determine if the point $(1, 1)$ makes the inequality 2x + 18y < 20 true. Since $20$ is not less than $20$ , the statement 20 < 20 is false.

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