Answer:
- x < 2.5
- x > 2.5
Step-by-step explanation:
One way to do this is to try a number for x and see if it makes the inequality true. A suitable number here is x=0. This value of x is less than 2.5.
1.
For x=0, you have ...
5 > -5 . . . . . true; the solution space is x < 2.5
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2.
For x=0, you have ...
-25 > -5(2.5)
-25 > -12.5 . . . . . false; the solution space is x > 2.5
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Alternate solution
1.
Subtract 5:
-4x > -10
Divide by -4
x < 2.5
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2.
Divide by -5:
5 < x +2.5
Subtract 2.5
2.5 < x
x > 2.5
