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Is $(1,\ 5)$ a solution to the inequality y < x + 7? $\newline$ Choices: $\newline$ (A)yes $\newline$ (B)no

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Does (x, y) satisfy the inequality?

Full solution

Q. Is

(1,\ 5)

a solution to the inequality

y < x + 7

?

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Substitute Values: Substitute the values $1, 5$ into the inequality y < x + 7. The substituted inequality is 5 < 1 + 7.
Simplify Inequality: Simplify the right side of the inequality $1 + 7$ to get $8$ .
Check Truth: The inequality now reads 5 < 8. Determine if this is a true statement.
Verify Solution: Since $5$ is less than $8$ , the statement 5 < 8 is true. Therefore, the point $(1, 5)$ is a solution to the inequality y < x + 7.

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