Answer:
The single inequality -6 < x < 12, can be written as two inequalities thus
x > -6 and x < 12
Explanation:
For the single inequality -6 < x < 12,
To write the single inequality as two inequalities, first we will separate it into two as
-6 < x and x < 12
-6 is less than x means x is greater than -6, Hence, -6 < x can be written as
x > -6.
∴-6 < x and x < 12 becomes
x > -6 and x < 12
Hence, the single inequality -6 < x < 12, can be written as two inequalities thus
x > -6 and x < 12
Therefore, the correct option is the first one
x > -6 and x < 12