Treat inequalities in the same way as an equation, unless you multiply or divide by a negative number, in which case the inequality sign will change around.
#2-3(x+2)<11" remove brackets"#
#2-3x-6 <11" the x-term is negative"#
Either:#color(white)(.........................................)# Or
#color(red)(-4-11 <3x) color(white)(................................)color(blue)(-3x <11-2+6)#
#color(red)(-15 <3x)" "div 3color(white)(...................)color(blue)(-3x < 15)#
#color(red)(-5 < x)color(white)(.............................................) color(blue)((-3x)/(-3)>15/(-3))" "div -3#
#color(red)(rArr x > -5)color(white)(.........................................) color(blue)(x> -5)#
