Answer:
Apply distributive property that's the first step.
Step-by-step explanation:
The given inequality is
[tex]-4(2x-1)>5-3x[/tex]
The first step we need to do is to apply distributive property to relase the binomial inside the parenthesis
[tex]-8x+4>5-3x[/tex]
Then, we move all variables to the left side, and all constants to the right side
[tex]-8x+3x>5-4\\-5x>1[/tex]
Now, we divide the inequality by -5, which changes the sign orientation
[tex]\frac{-5x}{-5} <\frac{1}{-5}\\ x<-\frac{1}{5}[/tex]
Therefore, the solution is a set with all values less than -1/5. The graph attached shows this solution.
