Question

I'm not sure how i solve this ?

Answer 1

Number 1 Right

Number 2: Since it's an absolute value you'll have 2 solutions:
I x+2 I = 5 ===> x = -3
& - I x+2 I = 5  ==> ===> x =7

Number 3: I r-7 I < = 5, r < = 12 & -I r-7 I < = 5 , = -r+7 < = 5 or r> = 12

& so on & so forth. Never forget that an absolute value may have 2 answers, the first one you take the positive value of the equation & the 2nd one you take the negative value & you solve