Algebraic Manipulation Worksheets With Answers - Craven Community College Page 3
ADVERTISEMENT
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29Example 3:
3X + 1 = 7
3X + 1 – 1 = 7 – 1
3X = 6
3X = 6
3
3
Solving Inequalities
An inequality states that one quantity is larger than another. The solution set of an inequality is the set of
all numbers that make the inequality true when substituted into the original inequality. These solution
sets are found using similar properties as those used to solve equations.
Example:
Y + 3 > 7
Y + 3 – 3 > 7 – 3
Subtract 3 from both sides
Y > 4
Graph the solution set
The Multiplicative Property of Inequalities: Multiplying (or dividing) both sides of an inequality by the
same positive non-zero number will not change the solution set of the inequality. Multiplying (or
dividing) both sides of an inequality by the same non-zero negative number reversing the inequality does
not change the solution set of the inequality.
Example 2:
6X – 5 < 4X – 1
6X – 4X – 5 < 4X – 4X – 1
Subtract 4X
2X – 5 + 5 < -1 + 5
Add 5
2X < 4
2
2
Divide by positive 2
X < 2
Example 3:
-3M + 4 < 7
-3M + 4 – 4 < 7 – 4
Subtract 4
-3M < 3
-3M > 3
-3
-3
M > -1
3
ADVERTISEMENT
0 votes
Related Articles
Related forms
Related Categories
Parent category: Education