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Is $(2,\,6)$ a solution to the inequality $5x + 18y \leq 1$ ? $\newline$ Choices: $\newline$ (A)yes $\newline$ (B)no

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Does (x, y) satisfy the inequality?

Full solution

Q. Is

(2,\,6)

a solution to the inequality

5x + 18y \leq 1

?

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Substitute values into inequality: Substitute the values $(2, 6)$ into the inequality $5x + 18y \leq 1$ . The substituted inequality is $5(2) + 18(6) \leq 1$ .
Calculate left side: Calculate the left side of the inequality $5(2) + 18(6)$ . Simplify $5(2)$ to get $10$ and $18(6)$ to get $108$ .
Add results: Add the results from Step $2$ to get $10 + 108$ , which equals $118$ .
Compare with right side: Compare the result from Step $3$ with the right side of the inequality. We have $118 \leq 1$ . Determine if this statement is true or false.
Evaluate statement: Since $118$ is not less than or equal to $1$ , the statement $118 \leq 1$ is false. Therefore, the point $(2, 6)$ does not make the inequality $5x + 18y \leq 1$ true.

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