To solve this inequality, we first need to simplify both sides of the equation:
(6 - 5x)/5 + (3x - 1)/2 < 2 + x(6 - 5x)(2) + 5(3x - 1) < 10 + 5x (multiply both sides by 5*2=10 to eliminate the fractions)12 - 10x + 15x - 5 < 10 + 5x(5x + 7) < 10 + 5x
At this point, we can see that the x terms will cancel out when subtracting 5x from both sides of the inequality:
5x + 7 < 105x < 3x < 3/5
Therefore, the solution to the inequality is x is less than 3/5 or x < 0.6.
To solve this inequality, we first need to simplify both sides of the equation:
(6 - 5x)/5 + (3x - 1)/2 < 2 + x
(6 - 5x)(2) + 5(3x - 1) < 10 + 5x (multiply both sides by 5*2=10 to eliminate the fractions)
12 - 10x + 15x - 5 < 10 + 5x
(5x + 7) < 10 + 5x
At this point, we can see that the x terms will cancel out when subtracting 5x from both sides of the inequality:
5x + 7 < 10
5x < 3
x < 3/5
Therefore, the solution to the inequality is x is less than 3/5 or x < 0.6.