1. Find all real numbers satisfying the inequality. Give the interval solution, and illustrate the solution on the number line. a) 5x+2>x-6 c) x+1 3x-1 b) _ -3>- - -7 d) 13 2 2x-325 x 2. Draw a sketch of the graph of the equation a) y=vx-3 b) y = 4x 3. Prove that the triangle with vertices A(3, -6), B(8, -2), and C(-1, -1) is a right triangle. Find the area of the triangle. Sketch the graph. 4. By using distance formula, prove that the points (-3, 2), (1, -2), and (9, -10) lie on a line. Make a sketch of the graph. 5. If two vertices of an equilateral triangle are (-4, 3) and (0, 0), find the third vertex. Sketch the graph. 6. Find the coordinates of the three points that divide the line segment from A(-5, 3) to B(6, 8) into four equal parts. Make a sketch of the graph. 7. The point P is on the line through Pi and P2 and is three times as far from P2(6, 2) as it is from Pi(1, 3) but is not between Pi and P2. Find the coordinates of point P. Illustrate the graph. 8. Find an equation of the line through the points (1, 3) and (2, -2), and put the equation in the intercept form. Make a sketch