Solutions
Solutions to Try Its
1. 2. 3. 4. 5. 6. 7. 8. 9. 10. or ; in interval notation, this would be .![A coordinate plane with the x-axis ranging from -1 to 9 and the y-axis ranging from -3 to 8. The function y = -2|k 4| + 6 is graphed and everything above the function is shaded in.](https://s3-us-west-2.amazonaws.com/courses-images-archive-read-only/wp-content/uploads/sites/924/2015/09/25200413/CNX_CAT_Figure_02_07_007.jpg)
Solutions to Odd-Numbered Exercises
1. When we divide both sides by a negative it changes the sign of both sides so the sense of the inequality sign changes. 3. 5. We start by finding the x-intercept, or where the function = 0. Once we have that point, which is , we graph to the right the straight line graph , and then when we draw it to the left we plot positive y values, taking the absolute value of them. 7. 9. 11. 13. 15. All real numbers 17. 19. 21. No solution 23. 25. 27. 29. 31. 33.![A coordinate plane where the x and y axes both range from -10 to 10. The function |x 1| is graphed and labeled along with the line y = 2. Along the x-axis there is an open circle at the point -1 with an arrow extending leftward from it. Also along the x-axis is an open circle at the point 3 with an arrow extending rightward from it.](https://s3-us-west-2.amazonaws.com/courses-images-archive-read-only/wp-content/uploads/sites/924/2015/09/25200414/CNX_CAT_Figure_02_07_201.jpg)
![A coordinate plane with the x-axis ranging from -14 to 10 and the y-axis ranging from -1 to 10. The function y = |x + 7| and the line y = 4 are graphed. On the x-axis theres a dot on the points -11 and -3 with a line connecting them.](https://s3-us-west-2.amazonaws.com/courses-images-archive-read-only/wp-content/uploads/sites/924/2015/09/25200418/CNX_CAT_Figure_02_07_203.jpg)
![A coordinate plane with the x and y axes ranging from -10 to 10. The function y = |x -2| and the line y = 0 are graphed.](https://s3-us-west-2.amazonaws.com/courses-images-archive-read-only/wp-content/uploads/sites/924/2015/09/25200419/CNX_CAT_Figure_02_07_205.jpg)
![A coordinate plane with the x and y axes ranging from -10 to 10. The lines y = x - 2 and y = 2x + 1 are graphed on the same axes.](https://s3-us-west-2.amazonaws.com/courses-images-archive-read-only/wp-content/uploads/sites/924/2015/09/25200421/CNX_CAT_Figure_02_07_207.jpg)
![A coordinate plane with the x and y axes ranging from -10 to 10. The lines y = x/2 +1 and y = x/2 5 are both graphed on the same axes.](https://s3-us-west-2.amazonaws.com/courses-images-archive-read-only/wp-content/uploads/sites/924/2015/09/25200422/CNX_CAT_Figure_02_07_209.jpg)
![A coordinate plane with the x and y axes ranging from -10 to 10. The function y = -0.5|x + 2| and the line y = 4 are graphed on the same axes. A line runs along the entire x-axis.](https://s3-us-west-2.amazonaws.com/courses-images-archive-read-only/wp-content/uploads/sites/924/2015/09/25200427/CNX_CAT_Figure_02_07_215.jpg)
![A coordinate plane with the x and y axes ranging from -10 to 10. The function y = |x 4| and the line y = 3 are graphed on the same axes. Along the x-axis the points 1 and 7 have an open circle around them and a line connects the two.](https://s3-us-west-2.amazonaws.com/courses-images-archive-read-only/wp-content/uploads/sites/924/2015/09/25200428/CNX_CAT_Figure_02_07_217.jpg)