Answer:
For all values of k , such that k < -14, the expression holds TRUE.
Step-by-step explanation:
Here, the given expression is :
3 k + 6 < -36
Now, solving for the value of k, we get:
3 k + 6 < -36
Adding (-6) on both sides, we get,
3 k + 6 - 6 < -36 - 6
or, 3 k < - 42
Dividing the inequality by (3) , we get:
[tex]\frac{3}{3} k < \frac{-42}{3}\\\implies k < -14[/tex]
or, k < -14
Hence, for all values of k LESS THAN -14, the expression holds TRUE.
