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Does the point $(5,\,6)$ satisfy the inequality y < 6x + 3? $\newline$ Choices: $\newline$ (A)yes $\newline$ (B)no

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Does (x, y) satisfy the inequality?

Full solution

Q. Does the point

(5,\,6)

satisfy the inequality

y < 6x + 3

?

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Substitute Values: Substitute the values of the point $(5, 6)$ into the inequality y < 6x + 3. The substituted inequality is 6 < 6(5) + 3.
Calculate Right Side: Calculate the right side of the inequality $6(5) + 3$ . This simplifies to $30 + 3$ , which equals $33$ .
Compare Left and Right: Compare the left side of the inequality, which is $6$ , to the right side, which we've calculated to be $33$ . The inequality becomes 6 < 33.
Determine Inequality: Determine if the inequality 6 < 33 is true. Since $6$ is less than $33$ , the inequality holds true, which means the point $(5, 6)$ does satisfy the inequality y < 6x + 3.

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