Write a system of inequalities in which x and y are each greater than -3, but not greater than 2.
Can someone please help???
-3 < x < 2
-3 < y < 2
Actually, that's -3 < x <= 2
Of course! To write a system of inequalities where both x and y are greater than -3 but not greater than 2, we need to set up two separate inequalities - one for x and one for y.
First, let's set up the inequality for x. We want x to be greater than -3, so we can write:
x > -3
Next, we want x to be less than or equal to 2. So, we can write:
x ≤ 2
Now, let's set up the inequality for y. We want y to be greater than -3, so we can write:
y > -3
Just like the x inequality, we also want y to be less than or equal to 2. So, we can write:
y ≤ 2
Putting it all together, we have the system of inequalities:
x > -3
x ≤ 2
y > -3
y ≤ 2
I hope this helps!