Question

Is the ordered pair a solution of y ≥ 2x − 5? a. (3, 1) b. (1, −4)

Answer 1

Answer:

a. Yes

b. No

Step-by-step explanation:

To find if an ordered pair is a solution to the inequality, substitute its x and y values for the x and y in the inequality and solve. If the equation is true, then it is a solution. If it is not, then it is not a solution.

1) First, substitute the x and y values of (3, 1) into the inequality. So, substitute 3 for x and 1 for y:

$1 \geq 2(3)-5\\1\geq 6-5\\1\geq 1$

1 is greater than or equal to 1, so (3,1) is a solution.

2) Second, do the same with the point (1, -4). Substitute 1 for x and -4 for y:

$-4\geq 2(1)-5\\\\-4\geq 2-5\\-4\geq -3$

However, -4 is not greater than or equal to -3, thus (1, -4) is not a solution.