Question

1. Is C

2. In the graph of the inequality x-2y >= 4, which is a value for x on the boundary line and the x-axis?

A. 4
B. -2
C. 2
D. -4

3. If x>=0 and y>=0, then which quadrant holds the solution?

A. IV
B. III
C. I
D. II

4. Which ordered pair is a solution of the inequality?
y>=4x-5

A. (3, 4)
B. (2, 1)
C. (3, 0)
D. (1, 1)

5. Graph the inequality.
y>-5x+3

Answer 1

1) C. (1,0)
2) A. 4
3) C. I
4) D. (1,1)
5) D

Answer 2

Answer:

Part 2) the answer is the option A) $x=4$

Part 3) the answer is the option C) I quadrant

Part 4) the answer is the option D $(1,1)$

Part 5) the graph in the attached figure

Step-by-step explanation:

Part 2) we have

$x-2y\geq 4$

Find the x-intercept

the equation of the line is

$x-2y= 4$

The x-intercept is the value of x when the value of y is equal to zero

For $y=0$

substitute in the equation of the line

$x-2(0)= 4$

$x=4$

Part 3) If x>=0 and y>=0, then which quadrant holds the solution?

we know that

$x\geq0$ ------> the solution is in the I and IV quadrant

$y\geq0$ ------> the solution is in the I and II quadrant

The solution of the compound inequality is the common quadrant

so

The solution is in the I quadrant

Part 4) Which ordered pair is a solution of the inequality?

$y\geq 4x-5$

we know that

If a ordered pair is a solution of the inequality. then the ordered pair must be satisfy the inequality

Substitute the value of x and y of the point $(1,1)$ in the inequality

$1\geq 4(1)-5$

$1\geq -1$ ------> is true

therefore

the point $(1,1)$ is a solution of the inequality

Part 5) we have

$y> -5x+3$

we know that

The solution is the shaded area above the dashed line

The equation of the line is $y=-5x+3$

The slope of the line is negative

The y-intercept is the point $(0,3)$

The x-intercept is the point $(0.6,0)$

using a graphing tool

see the attached figure