1)What is the solution set of |2x +4| ≥ 12?

a. {x| x ≤ -8 or x ≥ 4 c. {x| x ≤ 8 or x ≥ -4
b. {x| x ≤ 8 or x ≥ 4 d. {x| x ≤ -8 or x ≥ -4

2)Which absolute value of inequality does not have -8 as its solution?

a. |2x +4| ≥12 c. |3x – 6 | - 2 ≥11

b. 2x +4 ≥ -12 d. |x| > 8


4)What property of absolute value can be stated by |x| ≤ a?

a. if |x| = a , then x= a or -x= a, that is x= a or x = -a


b. if |x| < a , and a > 0 then -a < x < a.

c. f |x| > a , and a > 0 then x< -a or x > a

d. none of these

5. Which of the following absolute value of inequalities has no solution?


a. |2x – 5 | < -8 c. |x – 3 | > 2

b. |2x + 4 | ≥ 2 d. |2x + 4| ≥ 12​