The solution of the inequality is as follows;
x > 4 or x < -3
The inequality can be solve as follows:
5x - 3 > 17 or -2x + 2 > 8
Let's solve the first inequality,
5x - 3 > 17
add 3 to both sides of the inequality
5x - 3 + 3 > 17 + 3
5x > 20
divide both sides by 5
5x / 5 > 20 / 5
x > 4
-2x + 2 > 8
subtract 2 from both sides
-2x + 2 - 2 > 8 - 2
-2x > 6
divide both sides by -2
-2x / -2 > 6 / -2
x < -3
Therefore, x > 4 or x < -3
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