Question

Graph the inequality on a plane. (Click to shade a region below or above the line).2x – y > 4Pls look at the pictures because the last sign is supposed to be y is greater than or equal to 4

Answer 1

Step-by-step explanation:

Given the below inequality;

`2x-y\ge4`

The slope-intercept form of the equation of a line is generally given as;

`y=mx+b`

where m = slope of the line

b = y-intercept of the line

Let's go ahead and rewrite the given inequality in slope-intercept form by subtracting 2x from both sides, multiplying both sides by -1, and reversing the inequality sign;

`\begin{gathered} 2x-2x-y\ge-2x+4 \\ -y\ge-2x+4 \\ -1(-y)\ge-1(-2x+4) \\ y\leq2x-4 \end{gathered}`

If we compare the slope-intercept equation with the above inequality, we can see that the graph of the inequality will have a slope(m) of 2 and a y-intercept(b) of -4.

Since the inequality has both an inequality sign and an equality sign, the line will be a solid line.

Since the inequality has a less than sign, we'll shade the region below the line.

See below the graph of the given inequality with the shaded region;