Absolute Value Inequalities Solve the absolute value inequal

Absolute Value Inequalities Solve the absolute value inequality. Express the answer using interval notation and graph the solution set.

88. 3 - |2x +4| <=1

3 - |2x +4| + |2x +4| < =1 + |2x +4|

3 < = 1 + |2x +4|

|2x+4| >= 2

2x+4 >0 ; 2x +4 >=2 ---> x>=-1

x>=-1

2x+4<0 ; -2x - 4>= 2

2x <= -6

x< = -3

Solution : [ -1, inf) U (-inf , -3]

90. 7|x +2| +5 >4

7|x+2| > -1

|x+2|> -1/7

now we know that |x| is always greater than zero

So, above condition is true for ( -inf , inf)