Question

Which of the following inequalities matches the graph?

graph of an inequality with a solid vertical line through the point 5, 0 and shading to the left of the line

Answer 1

x≤5

Step-by-step explanation:

Which of the following inequalities matches the graph?

graph of an inequality with a solid vertical line through the point 5, 0 and shading to the left of the line

Here are steps to draw the inequality graph

1. draw a vertical line

2. draw an horizontal line to intercept the vertical line

3. calibrate the vertical lines with numbers starting from one, at 1 intervals.

3. do same for horizontal lines.

4. the point of interception of the two lines is the origin zero. The upper line is the positive y axis and the downward part is negative.

The right side is the positive x direction while the left side is negative y direction

5. mark a point (5,0)= 5 is on the x-axis, while 0 is on the y axis. drwa a vertical line that cuts across the the point.

6. shade the left part of the line.

Answer 2

Answer: the inequality that matches de graph is x ≤ 5.

Step-by-step explanation:

1) The vertical line through the point (5,0) is represented by x = 5.

2) The area to the left of the vertical line x = 5 contents all the points whose x-coordinate is less than five.

Please, find attached the figure with the graph described in the question.

3) A solid line is used to indicate that the points on the line are included in the solution region (a dashed line is used to indicate that the points on the line are excluded)

Therefore, the graph includes the points on the line x = 5 and the points with x-coordinate less than 5.

4) Hence, you have to use an inequality with the symbol ≤, which means less than or equal to.

x ≤ 5 means less than or equal to 5, which is the inequality searched.