Write your own system of two linear inequalities.

Answer 1

Certainly! Here is a system of two linear inequalities:

1. \( 2x + 3y < 12 \)
2. \( x - y \geq 1 \)

These inequalities represent a system that can be graphed on a coordinate plane. The solution to the system would be the set of all points \((x, y)\) that satisfy both inequalities simultaneously.

Answer 2

could you make a more simpler one

Answer 3

Sure! Here’s a simpler system of two linear inequalities:

1. \( x + y < 5 \)
2. \( x - y \geq 2 \)

This system is straightforward and can also be graphed to find the region that satisfies both inequalities.

Answer 4

can we change it to this
x+y=5
x-y=2

Answer 5

Certainly! The equations you've provided are linear equations, not inequalities, but we can use them to create a similar system of inequalities. Here’s how we can do it:

1. For the equation \( x + y = 5 \), you could change it to the inequality \( x + y \leq 5 \).
2. For the equation \( x - y = 2 \), you could change it to the inequality \( x - y \geq 2 \).

So, the new system of inequalities would be:

1. \( x + y \leq 5 \)
2. \( x - y \geq 2 \)

This still maintains a similar structure to your original equations while now being in the form of inequalities. If you were specifically looking for simple equations instead of inequalities, then your original system works perfectly as well.