Question

is (2, 2) a solution to the inequality $2x + 6y \geq 19$?
yes
no

Explanation:

Step1: Substitute x=2, y=2

Substitute \( x = 2 \) and \( y = 2 \) into the inequality \( 2x + 6y \geq 19 \).
We get \( 2(2) + 6(2) \).

Step2: Calculate the left - hand side

First, calculate \( 2(2)=4 \) and \( 6(2)=12 \). Then add them together: \( 4 + 12=16 \).

Step3: Compare with 19

Now we compare 16 with 19. Since \( 16<19 \), the inequality \( 2x + 6y\geq19 \) is not satisfied when \( x = 2 \) and \( y = 2 \).

Answer:

no