Questions: Graph the inequality, (y<-frac54 x+5).

Graph the inequality, (y<-frac54 x+5).
Transcript text: SIGNMENT 7. Submit answer uiz 3 (W06 FA2024) Graph the inequality, $y<-\frac{5}{4} x+5$. Items Instructions Details Drag the points on the line to position it and adjust the slider to change the line's style. Then drag the larger, red point to be completely inside of the region representing the solution set.
failed

Solution

failed
failed

Solution Steps

Step 1: Convert inequality to slope-intercept form

The inequality is already in slope-intercept form: y < -(5/4)x + 5.

Step 2: Determine two points on the line

Find two points that satisfy the equation y = -(5/4)x + 5. When x = 0, y = 5. This gives the point (0, 5). When x = 4, y = -(5/4)(4) + 5 = -5 + 5 = 0. This gives the point (4, 0).

Step 3: Plot the line and determine shading

Plot the points (0,5) and (4,0) on the graph. Since the inequality is strictly less than (<), the line should be dashed. Draw a dashed line through the two points. The inequality y < -(5/4)x + 5 indicates that the solution region is below the line.

Step 4: Verify with a test point

Pick a test point not on the line, such as (-5, 5). Substitute it into the inequality: 5 < -(5/4)(-5) + 5, which simplifies to 5 < 25/4 + 5, or 5 < 11.25. Since this is true, the region containing the point (-5, 5) should be shaded.

Final Answer:

The graph of the inequality should be a dashed line passing through (0, 5) and (4, 0) shaded below the line. The red dot should be placed anywhere in the shaded region, for example, at (-5, 5). The slider should be set to "Dashed."

Was this solution helpful?
failed
Unhelpful
failed
Helpful

Questions asked by other users

failedAnswered
Question 17 Which of the following is true: The jejunum of the small intestine connects to the antrum of the large intestine The ileum of the small intestine connects to the cecum of the large intestine The antrum of the large intestine connects to the jejunum of the small intestine The cecum of the small intestine connects to the ileum of the large intestine
failedAnswered
Triangle A'B'C' is the result of dilating ABC about point A by a scale factor of 2/3. Determine whether each claim about the properties of ABC and A'B'C' is true or false. The measures of angle B and angle B' are equal. True/false The coordinates of A and A' are the same. True/false
failedAnswered
Work from a Constant Force In this problem, you will calculate the work done by a constant force. A force is considered constant if F(r) is independent of r. This is the most frequently encountered situation in elementary Newtonian mechanics. Consider a particle moving in a straight line from initial point B to final point A, acted upon by a constant force F (Figure 1). In the figure, the force is indicated by a series of identical vectors pointing to the left, parallel to the horizontal axis. The vectors are all identical to reflect the idea that the force is constant everywhere along the path. The magnitude of the force is F, and the displacement vector from point B to point A is L (of magnitude L, making an angle θ (radians) with the positive x axis). Find WBA, the work that the force F performs on the particle as it moves from point B to point A. Express the work in terms of L, F, and θ. Remember to use radians, not degrees, for any angles that appear in your answer.
failedAnswered
QUESTION 7 • 1 POINT Use the most convenient method to solve the following system of equations. ⎨3x + 4y = 10 ⎩4x + 3y = 1 Write your answer as an ordered pair in the form (x, y). Provide your answer below:
failedAnswered
Question 4 1 pts As grapes ripen: The acidity level and the sugar level both drop The acidity level and the sugar level both increase The acidity level increases and the sugar level drops The acidity level drops and the sugar level increases