Answer:
x ≥ - 2.
Step-by-step explanation:
We have to solve the compound inequality.
It is 15 ≥ - 3x or x ≥ - 2
Now, from the first part we have
15 ≥ -3x
⇒ [tex]-\frac{1}{3} \times 15 \leq -\frac{1}{3}(- 3x)[/tex]
⇒ - 5 ≤ x
⇒ x ≥ - 5 ....... (1)
And the second part is x ≥ -2 ......... (2)
Therefore, the conditions (1) and (2) will both be true if x ≥ - 2.
Hence, this is the solution. (Answer)
