Question

What is the value of k that makes the equation true? 3k + 6 < -36

Answer 1

For all values of k , such that k < -14, the expression holds TRUE.

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:

`(3)/(3) k  < (-42)/(3)\\\implies  k <  -14`

or, k < -14

Hence, for all values of k LESS THAN -14, the expression holds TRUE.