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Solving Inequalities Review
2x-4 ≤ 4 and 2x+8 > 6
-6x ≤ -24
Solving Inequalities Review
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3.6 Review College Prep Algebra Book
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Answers
1
-6x ≤ -24
x ≥ 4
x ≥ -4
x ≤ -4
x ≤ 4
2
2x-4 ≤ 4 and 2x+8 > 6
x < 7 and x ≥ 0
x < -1 and x ≥ 4
x ≤ 0 and x > 7
x ≤ 4 and x > -1
3
3m-11 < 7
m > 6
m < -1.3
m < 6
m > -1.3
4
4x+10 ≤ -6 or -2x+5 < -4
x ≤ -4 or x < 4.5
x < 4.5 or x ≥ -4
x > 4.5 or x ≥ -4
x ≤ -4 or x > 4.5
5
12 ≥ (x-3)/2 > 1
x < -1 and x ≥ 21
x ≤ 27 and x > 5
x ≤ 21 and x > -1
x < 5 and x ≥ 27
6
3(2-p) ≥ 2(1+p)
p ≤ 1
p ≤ 4
p ≤ 0.8
p ≤ 1.3
7
12-3y < 4y-2
y < 2
y > -14
y > 2
y < -2
8
(1/3)-(2/9)t ≥ 8
t ≤ -2.5
t ≥ -2.5
t ≤ -34.5
t ≥ -34.5
9
x+8 > 5
x > 13
x < -3
x < -13
x > -3
10
-13 ≤ 3-4x < 13
x ≤ 2.5 and x > -4
x ≥ 2.5 and x < -4
x ≥ 4 and x < -2.5
x ≤ 4 and x > -2.5
11
0.4x-3 ≤ 8.1
or
4.2-1.6x ≤ 3
x ≤ 21 or x ≥ 0.75
x ≤ 0.75 or x ≤ 21
x ≥ 0.75 or x ≥ 21
x ≤ 0.75 or x ≥ 21
12
9-x ≤ 3+2x
and
3x-7 > -22
x ≤ 2 and x < -5
x ≥ 2 and x > -5
x ≤ 2 and x > -5
x ≥ 2 and x < -5