Answer:
b and d
Explanation:
To solve the inequality, we can square both sides:
√x < 12
(√x)^2 < 12^2
x < 144
Therefore, any value of x that is less than 144 is a solution to the inequality.
Checking each option:
A. -144 is not a solution because the square root of a negative number is not a real number.
B. 100 is a solution because √100 = 10 < 12.
C. 144 is not a solution because the inequality is strict, meaning that x must be less than 144.
D. 4 is a solution because √4 = 2 < 12.
E. 148 is not a solution because 148 is greater than 144.
F. 32 is a solution because √32 < 12.
Therefore, the solutions are B and D.
Answer: B, D