Final answer:
After substituting the point (1/2, 3/4) into the inequality 2x + 4y < 5, we find that the inequality holds true, making (1/2, 3/4) a solution to the inequality.
Step-by-step explanation:
To determine whether the point (1/2, 3/4) is a solution to the inequality 2x + 4y < 5, we need to substitute the x and y values into the inequality and check if it makes the inequality true.
Substitute x = 1/2 and y = 3/4:
2(1/2) + 4(3/4) = 1 + 3 = 4
Since 4 is less than 5, the inequality 2x + 4y < 5 holds true. Therefore, (1/2, 3/4) is indeed a solution to the inequality.