Question

Solve the inequality. Graph the solution. |-2x+1|>2 (5 points)
-2x+1>2 or -2x+1>-2
-2x+1-1>2-1 or -2x+1-1>-2-1
-2x>1 or -2x>-3
-2x/-2 < 1/-2 or -2x/-2 < -3/-2
X< -1/2 or x< -1 ½
Can someone check my answer?

Answer 1

\[\left| x+a \right|>b,\]
x+a>b and x+a<-b

Answer 2

if we divide or multiply by a negative quantity,inequality changes
i.e.,from > to < and from < to >

Answer 3

My bad, I thought I did change the signs. Thank you for correcting me.