Name: 
 

Lesson 9 - Solving a Linear Inequality



 
Use inverse operations to solve each inequality. Then match the inequality with the solution.
a.
x > 5
e.
x > -5
b.
x grp001-1.jpg 5
f.
x grp001-3.jpg -5
c.
x < 5
g.
x < -5
d.
x grp001-2.jpg 5
h.
x grp001-4.jpg -5
 

 1. 

2x - 3 < -3x + 22
 

 2. 

3x - 4 ma002-1.jpg 6x + 11
 

 3. 

-2x - 7 > -6x + 13
 

 4. 

-7x + 2 > -3x + 22
 

 5. 

4x + 7 ma005-1.jpg 7x - 8
 

 6. 

10x + 3 > 4x - 27
 

 7. 

6x + 5 ma007-1.jpg 2x - 15
 

 8. 

-3x + 7 ma008-1.jpg -x - 3
 

 9. 

Which inequality represents this situation?

   When a number is tripled and then increased by 5,
   the result is greater than or equal to 29.
a.
3x - 5 < 29
c.
3x + 5 mc009-1.jpg 29
b.
3x + 5 > 29
d.
3x - 5 mc009-2.jpg 29
 

 10. 

Which is the solution for the inequality in question 9?
a.
x < 8
b.
x mc010-1.jpg 8
c.
x > 8
d.
x mc010-2.jpg 8
 



 
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