Question

Solve each inequality x+1>-5(7-2x)

Answer 1

$x+1 > -5(7-2x)\ \ \ \ |\text{use distributive property}\\\\x+1 > (-5)(7)+(-5)(-2x)\\\\x+1 > -35+10x\ \ \ \ |-1\\\\x > -36+10x\ \ \ \ |-10x\\\\-9x > -36\ \ \ \ |\text{change the signs}\\\\9x < 36\ \ \ \ |:9\\\\\boxed{x < 9}\to x\in(-\infty,\ 9)$