(-∞,8) is interval is the solution to set 0.35x – 4.8 < 5.2 – 0.9x.
0.35x - 4.8 < 5.2 - 0.9x
Adding 0.9x to both sides of equation.
0.35x - 4.8 + 0.9x < 5.2 - 0.9x + 0.9x
1.25x - 4.8 < 5.2
Adding 4.8 to both sides of equation.
1.25x - 4.8 + 4.8< 5.2 + 4.8
1.25x < 10
Dividing both sides of equation by 1.25
x < [tex]\frac{10}{1.25}[/tex]
Hence x < 8
Thus, (-∞,8) interval is the solution to given set 0.35x – 4.8 < 5.2 – 0.9x.
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