solve this :∣x-1∣+∣x-2∣+∣x-5∣>=6 Share with your friends Share 0 Kiran B Nambiar answered this Dear Student, x-1+x-2+x-5≥6Here,the three critical points where the equation is to be solve are: x=1,2,5Case 1:x<1-(x-1)-(x-2)-(x-5)≥6-x+1-x+2-x+5≥6-3x+8≥6-3x+2≥0x≥23therefore, x∈23,∞Case 2:1≤x<2(x-1)-(x-2)-(x-5)≥6x-1-x+2-x+5≥6-x+6≥6-x≥0x≤0therefore, x∈-∞,0Case 3:2≤x<5(x-1)+(x-2)-(x-5)≥6x-1+x-2-x+5≥6x+2≥6x≥4therefore, x∈4,∞Case 4:x≥5(x-1)+(x-2)+(x-5)≥6x-1+x-2+x-5≥63x-8≥6x≥143therefore, x∈143,∞ Regards 0 View Full Answer
