Question

Which region represents the solution to the given system of inequalities?

{y < -1/2x }
[y ≥ 2x+3 }

A
B
C
D

Answer 1

The region D represents the solution of the given system of inequalities.

What is the system of linear inequalities?

A system of linear inequalities is a collection of linear inequalities in the same variables.

How to shade the graph of inequalities?

• Rearrange the equations so "y" is on the left and everything else on the right.
• Plot the "y≤ ,y≥ ,y> or  y< " line.
• Shade above the line for a " greater then" and below for the "less than".

According to the given equation.

We have system of inequalities.

$y < \frac{-1}{2}x$

and $y \geq 2x + 3$

Also, the graph of the inequalities.

Since, y is less than $-\frac{1}{2} x$ shade  below the line.

And, for the second inequality.

y is greater than and equal to 2x + 3 therefore, shade the above the line.

So, the common region D we get after the shading.

Hence, region D represents the solution of the given system of inequalities.

Find out more information about system of inequalities:

https://brainly.com/question/19526736

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