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Is $(9,\,8)$ a solution to the inequality 16x + 5y > 4 ? $\newline$ Choices: $\newline$ (A)yes $\newline$ (B)no

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Does (x, y) satisfy the inequality?

Full solution

Q. Is

(9,\,8)

a solution to the inequality

16x + 5y > 4

?

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Substitute values into inequality: Substitute the values $(9, 8)$ into the inequality 16x + 5y > 4. The substituted inequality is 16(9) + 5(8) > 4.
Calculate left side: Calculate the left side of the inequality $16(9) + 5(8)$ . Simplify it to get $144 + 40$ .
Add results: Add the results from Step $2$ to get $144 + 40 = 184$ .
Compare to right side: Compare the result from Step $3$ to the right side of the inequality. We have 184 > 4.
Determine validity: Determine if the point $(9, 8)$ makes the inequality 16x + 5y > 4 true. Since 184 > 4 is a true statement, the point $(9, 8)$ does make the inequality true.

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