Answer: x >= -6.2
Step-by-step explanation:
Simplify this first by dividing each side by 5
5|x|+6>/5=1/5
|x| + 6 ≥ 0.2
Since this is an absolute value inequality, we need to setup two inequalities
x+6 >= 0.2
x+6 >= -0.2
Solve Equation 1 → x+6 >= 0.2
Subtract - 6 from both sides of the inequality
x+6 - 6>= 0.2 - 6
x ≥ - 5.8
Solution to absolute value equation 1 is
x >= -5.8
Solve Equation 2 → x+6 >= -0.2
Subtract - 6 from both sides of the inequality
x+6 - 6>= -0.2 - 6
x ≥ - 6.2
