1.7 linear inequalities

358 views

Published on

Published in: Education, Technology
0 Comments
0 Likes
Statistics
Notes
  • Be the first to comment

  • Be the first to like this

No Downloads
Views
Total views
358
On SlideShare
0
From Embeds
0
Number of Embeds
75
Actions
Shares
0
Downloads
11
Comments
0
Likes
0
Embeds 0
No embeds

No notes for slide

1.7 linear inequalities

  1. 1. 1.7 Linear Inequalities
  2. 2. Linear Inequalities • Look like the equation of a line, but have , , , or  instead of =. • Solutions are ordered pairs (x, y) that make the inequality true.
  3. 3. Checking Solutions • Is (0, 1) a solution of 2x + 3y  5 ?
  4. 4. You Try! • Is (4, -1) a solution of 2x + 3y  5 ? • Is (-3, 2) ?
  5. 5. Graphing Linear Inequalities •Pretend the inequality is an = sign. •Graph the line like normal except: ▫ < and > use dashed line ▫  and  use solid line •Pick a point and plug it in to decide where to shade. •Shade the side that is TRUE!
  6. 6. Example: • Graph: y  -2
  7. 7. • Graph: x  1
  8. 8. You Try! • Graph the inequalities: y  2 x > 1 stop
  9. 9. Two Variable Inequalities • Graph y < 2x - 3
  10. 10. You Try! • Graph y > - x – 4
  11. 11. Example: • Graph 2x – 5y ≥ 10 • Hint: Solve for y first.
  12. 12. Your Turn! • Graph 4x + 2y ≥ 8
  13. 13. Writing Inequalities from Graphs 1. Write the equation of the line. Use y = mx + b if possible. 2. Choose a point (x, y) from the shaded area and plug it in. 3. Replace = sign with an inequality that makes the statement true. 4. For dashed lines choose < or >, for solid lines choose  or .
  14. 14. Example 1
  15. 15. Example 2
  16. 16. You Try!
  17. 17. Example 3
  18. 18. You Try!

×