Answer :

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)

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