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Does $(1, 4)$ make the inequality $y \geq 3x + 1$ true? $\newline$ Choices: $\newline$ (A)yes $\newline$ (B)no

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Does (x, y) satisfy the inequality?

Full solution

Q. Does

(1, 4)

make the inequality

y \geq 3x + 1

true?

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Substitute values into inequality: Substitute the values $(1, 4)$ into the inequality $y \geq 3x + 1$ . The substituted inequality is $4 \geq 3(1) + 1$ .
Simplify right side: Simplify the right side of the inequality $3(1) + 1$ to get $4$ .
Check if statement is true: The inequality now reads $4 \geq 4$ . Determine if this is a true statement.
Verify inequality holds true: Since $4$ is equal to $4$ , the inequality holds true because the inequality allows for $y$ to be greater than or equal to $3x + 1$ .

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