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Solve the inequalities by graphing. Select the correct graph. 2x - y > 4 2x - y < -2

2 Answers

3 votes

Answer:

The graph is attached below.

However, just for an explanation; its middle section is white, purple to the left, teal to the right.

Explanation:

Solve the inequalities by graphing. Select the correct graph. 2x - y > 4 2x - y-example-1
User Galanthus
by
9.2k points
3 votes

Answer:

Explanation:

The slope form of an equation of a line:


y=mx+b

m - slope

b - y-intercept

We only need two points to draw a line.

Convert to the slope-intercept form.


2x-y>4 add y to both sides


2x>y+4 subtract 4 from both sides


2x-4>y\to y<2x-4

Choice two values of x, put to the equation y = 2x - 4:

for x = 0


y=2(0)-4=0-4=-4\to(0,\ -4)

for x = 2


y=2(2)-4=4-4=0\to(2,\ 0)


2x-y<-2 add y to both sides


2x<y-2 add 2 to both sides


2x+2<y\to y>2x+2

y = 2x + 2

for x = 0


y=2(0)+2=0+2=2\to(0,\ 2)

for x = 2


y=2(2)+2=4+2=6\to(2,\ 6)

<, > - dotted line

≤, ≥ - solid line

<, ≤ - we shade the region below the line

>, ≥ - we shade the region above the line


y<2x-4

dotted line passes through (0, -4) and (2, 0), we shade the region below the line


y>2x+2

dotted line passes through (0, 2) and (2, 6), we shade the region above the line

Solve the inequalities by graphing. Select the correct graph. 2x - y > 4 2x - y-example-1
User Rigotti
by
8.1k points

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