Question

The inequality x + 2y ≥ 3 is satisfied by point (1, 1).
True
False

Answer 1

True

Explanation:

We can check by substitute x=1 into the inequality to determine if the y will be equal to 1 or more:

1+2y≥3

solve for y:

2y≥3-1

y≥2/2

y≥1

y is equal to 1 or more. Therefore the inequality is satisfied for point (1,1)

Answer 2

In the given statement above, in this case, the answer would be TRUE. It is true that the inequality x + 2y ≥ 3 is satisfied by point (1, 1). In order to prove this, we just have to plug in the values. 1 + 2(1) ≥ 3
So the result is 1 + 2 ≥ 3. 3 ≥ 3, which makes it true, because it states that it is "more than or equal to", therefore, our answer is true. Hope this answer helps.