How do you solve this system of inequalities: #7x + 2y < - 2 and - 4x + 3y \geq 3#?

Answer 1

Graph each inequality separately, the overlap of the shaded areas is your solution.

Solve each equation for y ,#y<2x+3# for example, then graph each one. Test a point in each equation to find which side of each inequality to shade.

By signing up, you agree to our Terms of Service and Privacy Policy

Answer 2

Jace Anderson

To solve the system of inequalities:

Solve each inequality separately for y:
- For the first inequality: (2y < -7x - 2)
- For the second inequality: (3y \geq 4x + 3)
Plot the boundary lines for each inequality using the equations obtained in step 1.
Determine the region that satisfies both inequalities. This region is the solution to the system of inequalities.

By signing up, you agree to our Terms of Service and Privacy Policy

Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

How do you solve this system of inequalities: #7x + 2y &lt; - 2 and - 4x + 3y \geq 3#?

How do you solve this system of inequalities: #7x + 2y < - 2 and - 4x + 3y \geq 3#?