What is the solution set to the inequality-3x 5.92-15.4 for x in the set (-10,-5, 0, 5, 10)?

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-10 , -5 , 0 and 5

Explanation:
The given inequality is:
-3x + 5.9 ≥ -15.4

We will need to isolate the x on one side of the inequality as follows:
First, we will subtract 5.9 from both sides of the inequality as follows:
-3x + 5.9 - 5.9 ≥ -15.4 - 5.9
-3x ≥ -21.3

Then, we will divide both sides of the inequality by -3. Remember that when we divide by a negative number, we flip the inequality sign as follows:
-3x / -3 ≥ -21.3 / -3
x ≤ 7.4

This means that x could be any value starting from -∞ till 7.4
The given set is (-10,-5, 0, 5, 10)
Now, we will check the given options, the correct ones would be those having a value of 7.4 or less.
This means that the correct options are:
-10 , -5 , 0 and 5

Hope this helps :)