Solve this please:- |x-1|+|x-2|+|x-3|>=6 Share with your friends Share 3 Aditi Jain. answered this Dear Student, We have, x-1+x-2+x-3≥6 .....iAs, x-1=x-1, x≥11-x, x<1;x-2=x-2, x≥22-x, x<2andx-3=x-3, x≥33-x, x<3Now,Case I: When x<1,1-x+2-x+3-x≥6⇒6-3x≥6⇒3x≤0⇒x≤0So, x∈(-∞, 0]Case II: When 1≤x<2,x-1+2-x+3-x≥6⇒4-x≥6⇒x≤4-6⇒x≤-2So, x∈ϕCase III: When 2≤x<3,x-1+x-2+3-x≥6⇒x≥6So, x∈ϕCase IV: When x≥3,x-1+x-2+x-3≥6⇒3x-6≥6⇒3x≥12⇒x≥123⇒x≥4So, x∈[4, ∞)So, from all the four cases, we getx∈(-∞, 0]∪[4, ∞) Regards 21 View Full Answer Davinder Singh Purba answered this Oh -5