Question

a)|x-1|≥4=



b)|2x-1|≤3

Answer 1

x-1≥4
x≥4+1
x≥5

-x+1≥4
-x≥4-1
-x≥3
x≤-3

S: -3≥x≥5

b)|2x-1|≤3
2x-1 ≤ 3
2x ≤ 3+1
2x ≤ 4
x ≤ 4/2
x ≤ 2

-(2x-1) ≤ 3
-2x+1 ≤ 3
-2x ≤ 3-1
-2x ≤ 2 .(-1)
2x ≥ -2
x ≥ -2/2
x ≥ -1

S: -1 ≤ x ≤ 2