- #1
HMPARTICLE
- 95
- 0
1. The problem statement.
consider the following sets;
3. Attempt at solution.
Let (x,y) be an arbitrary element of C, then
y ≥ x^2 + 4x + 4.
Rearranging the inequality gives
y - 4 ≥ x^2 + 4x.
Now since x^2 ≥ 0 for all x in R. This implies that
y -4 ≥ 4x. Hence y ≥ 4x+4. As required.
Now my gut instinct is that i am totally wrong with this. I am just starting my degree and usually find these questions quite easy.
I have tried various other manipulations but to no avail :(. If i must be honest i have "forced it".
Note;
I do know this is a simple question and i only just started my degree.
consider the following sets;
- C = {(x, y) ∈ R^2 : y ≥ (x + 2)^2},
D = {(x, y) ∈ R^2 : y ≥ 4x + 4}.
3. Attempt at solution.
Let (x,y) be an arbitrary element of C, then
y ≥ x^2 + 4x + 4.
Rearranging the inequality gives
y - 4 ≥ x^2 + 4x.
Now since x^2 ≥ 0 for all x in R. This implies that
y -4 ≥ 4x. Hence y ≥ 4x+4. As required.
Now my gut instinct is that i am totally wrong with this. I am just starting my degree and usually find these questions quite easy.
I have tried various other manipulations but to no avail :(. If i must be honest i have "forced it".
Note;
I do know this is a simple question and i only just started my degree.