Question

solution set of inequality of x-1 /x+1 >= 1 is

Answer 1

∣x−1∣≥∣x−3∣

⇒∣x−1∣−∣x−3∣≥0

∣x−1∣−∣x−3∣=

⎩

⎪

⎪

⎪

⎨

⎪

⎪

⎪

⎧

−2

2x−4

2

if

if

if

x<1

1≤x≤3

x>3

if x<1

⇒−2≥0 not possible

if 1≤x≤3

⇒2x−4≤0⇒x≤2⇒x∈[2,∞)

∵1≤x≤3

⇒x∈[2,3]

if x>3

⇒2≤0 is true then

x∈(3,∞)

then x∈[2,3]∪(3,∞)

x∈[2,∞)

plz make my answer brilliant if my answer is correct