Question 346807
-11<2x-1<=-5

Move all terms not containing x from the center section of the interval inequality.
-11+1<2x<=-5+1

Add 1 to -11 to get -10.
-10<2x<=-5+1

Add 1 to -5 to get -4.
-10<2x<=-4

Divide each term in the inequality by 2.
-(10)/(2)<(2x)/(2)<=-(4)/(2)

Reduce the expression -(10)/(2) by removing a factor of 2 from the numerator and denominator.
-5<(2x)/(2)<=-(4)/(2)

Reduce the expression (2x)/(2) by removing a factor of 2 from the numerator and denominator.
-5<x<=-(4)/(2)

Reduce the expression -(4)/(2) by removing a factor of 2 from the numerator and denominator.
-5<x<=-2

Convert the solution to set notation.
(-5,-2]