The solution to the system of inequalities is 2.25 < x < 4
Given the following inequality expression 5x – 19 <1 OR - 4x + 3 < -6
Solve individual expressions
For 5x – 19 <1
Add 19 to both sides
5x - 19 + 19 < 1 + 19
5x < 20
x < 20/5
x < 4
For the expression - 4x + 3 < -6
Subtract 3 from both sides
- 4x + 3 -3 < -6 - 3
-4x < -9
x > -9/-4
x > 2.25
2.25 < x
Combine both solutions
2.25 < x < 4
Hence the solution to the system of inequalities is 2.25 < x < 4
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