Write down the inequalities that are represented by the following diagrams.

Here are the inequalities for Question 3 and the solution for Question 4: Question 3: Write down the inequalities that are represented by the following diagrams. A) Step 1: Identify the first part of the inequality. There is an open circle at 11 with shading to the left, which means x < 11. Step 2: Identify the second part of the inequality. There is a solid circle at 18 with shading to the right, which means x 18. Step 3: Combine the inequalities with "OR" since they are separate regions. x < 11 OR x 18 B) Step 1: Identify the left boundary. There is a solid circle at -2 with shading to the right, which means x -2. Step 2: Identify the right boundary. There is an open circle at 6 with shading to the left, which means x < 6. Step 3: Combine the inequalities with "AND" since the region is between the two points. -2 x < 6 C) Step 1: Identify the left boundary. There is a solid circle at 0 with shading to the right, which means x 0. Step 2: Identify the right boundary. There is an open circle at 16 with shading to the left, which means x < 16. Step 3: Combine the inequalities with "AND" since the region is between the two points. 0 x < 16 D) Step 1: Identify the first part of the inequality. There is an open circle at 5 with shading to the left, which means x < 5. Step 2: Identify the second part of the inequality. There is an open circle at 15 with shading to the right, which means x > 15. Step 3: Combine the inequalities with "OR" since they are separate regions. x < 5 OR x > 15 E) Step 1: Identify the left boundary. There is a solid circle at -2 with shading to the right, which means x -2. Step 2: Identify the right boundary. There is a solid circle at 4 with shading to the left, which means x 4. Step 3: Combine the inequalities with "AND" since the region is between the two points. -2 x 4 Question 4: For the given points P_1 (3, 2) and P_2 (-1, -2). A) Find the slope (m). Step 1: Identify the coordinates of the two points. (x_1, y_1) = (3, 2) (x_2, y_2) = (-1, -2) Step 2: Use the slope formula m = (y_2 - y_1)/(x_2 - x_1). m = (-2 - 2)/(-1 - 3) Step 3: Calculate the slope. m = (-4)/(-4) m = 1 B) By using the gradient - point Formula (m = (y_1 - y)/(x_1 - x)), formulate the function in the form y = mx + c. Step 1: Substitute the calculated slope m=1 and one of the points, for example P_1(3, 2), into the given formula. 1 = (2 - y)/(3 - x) Step 2: Multiply both sides by (3 - x). 1(3 - x) = 2 - y 3 - x = 2 - y Step 3: Rearrange the equation to the form y = mx + c. y = 2 - (3 - x) y = 2 - 3 + x y = x - 1 C) What is the y - intercept? Step 1: The y-intercept is the value of y when x = 0. Substitute x=0 into the equation y = x - 1. y = 0 - 1 Step 2: Calculate the y-intercept. y = -1 Last free one today — make it count tomorrow, or type /upgrade for unlimited.