Question 140184
absolute value is the LAST operation; because for abs(x)=y, both +y AND -y satisfy the equation


abs(4-5x)-1=33 __ adding 1 __ abs(4-5x)=34


now absolute value __ 4-5x=34 __ -5x=30 __ x=-6
__ AND __ 4-5x=-34 __ -5x=-30 __ x=6


abs(7k+2)+3<12 __ subtracting 3 __ abs(7k+2)<9


absolute value __ 7k+2<9 __ 7k<7 __ k<1
__ AND __ 7k+2>-9 __ 7k>-11 __ k>-11/7


when you multiply the < value by -1, remember to change the direction to >