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Solving Inequalities in One Variable
Contributed by: Miles
(Original author: Jarvie)
SOLVING INEQUALITIES IN ONE VARIABLE
Remember- when you multiply or divideboth sides of an inequality by the samenegative number, you must FLIP the sign!
Solve for x.
3 + x < 6
x > 3
x < 9
x < 3
x < -3
​Solve for x.
2x - 1 ≥ 5
x ≥ 2
x ≤ 3
x > 3
x ≥ 3
​Solve for m.
-m < 5
m < -5
m > -5
m < 5
m > 5
​Solve for t.
-3t < 18
t < -6
t < 6
t > 6
t > -6
​Solve for x.
2
x
x ≤ -10
x ≤ 10
x ≥ -10
x ≥ 10
≤ -5
Solve for b.
-5b + 1 ≤ -9
b ≤ 2
b ≥ 2
b ≤ -2
b ≥ -2
​Solve for x.
6x > -24
x > -4
x < -4
x > 4
x < 4
​Solve for x.
35 ≥ 6x + 5
x < 5
x > 5
x ≥ 5
x ≤ 5
0
2
-2
4
-4
6
-6
8
-8
Which inequality has the solution shown 
on the number line?
-2x ≥ 4
-2x ≤ 4
-2x ≥ -4
-2x ≤ -4
0
2
-2
4
-4
6
-6
8
-8
Which inequality has the solution shown
on the number line?
5x - 1 > 14
-x + 6 < 4
-3x + 2 < -4
3 - x ≤ 5
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