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ALGEBRA 2
NAME___________________
REVIEW 2-1/2-2
SOLVE EACH INEQUALITY AND GRAPH THE SOLUTION SET:
1) 3X-3  -9
2) 6-X 10
3x<-6
-x>4
x<-2
x<-4
3) 4-(2X-8) > 5X+10-7X
4-2x+8>-2x+10
12-2x>-2x+10
12>10 True so All Real Numbers
4) 5X+6  3X+10
2x+6>10
2x>4
x>2
5) 3(X+4) ≤ 4(X+3)
3x+12≤ 4x+12
12≤ x+12
0≤x x≥0
SOLVE EACH COMBINED INEQUALITY AND GRAPH THE SOLUTION
SET:
6) 4  X-7  -3
7) X+5 ≤ 2 OR 2X+3  11
+7 +7 +7
-5 -5
-3 -3
11>x>4
4<x<11
2x>8
x≤-3
or x>4
8) -3 ≤ ½ X-2 ≤ 5
+2
+2 +2
-1≤ ½x≤ 7
2(-1) ≤ 2(½x) ≤ 2(7)
-2 ≤ x ≤ 14
10) 3X-9  0 AND 5X+10  20
3x>9
5x<10
x>3
x<2
No Solution
9) -X+1  -3 OR -½ X  -4
-1 -1 -2(-½ X > -4)-2
-x>-4
x>8
-1 -1
x<4
or x>8
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