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Does the point $(3,\ 4)$ satisfy the inequality $4x + 2y \geq 20$ ? $\newline$ Choices: $\newline$ (A)yes $\newline$ (B)no

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Does (x, y) satisfy the inequality?

Full solution

Q. Does the point

(3,\ 4)

satisfy the inequality

4x + 2y \geq 20

?

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Substitute values into inequality: Substitute the values $3, 4$ into the inequality $4x + 2y \geq 20$ . The substituted inequality is $4(3) + 2(4) \geq 20$ .
Calculate left side: Calculate the left side of the inequality $4(3) + 2(4)$ . Simplify it to get $12 + 8$ .
Add numbers together: Add the numbers together to find the value of the left side of the inequality. $12 + 8$ equals $20$ .
Determine if inequality holds true: The inequality now reads $20 \geq 20$ . Determine if the point $(3, 4)$ makes the inequality $4x + 2y \geq 20$ true. Since $20$ is equal to $20$ , the inequality holds true.

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