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Which of the following is the solution set of the
problem?
O (-∞, -3)
(-∞, -3]
O
[-3,00)
O (-3,00)
DONE


Sagot :

The solution set of the example inequality, 2•x + 3 ≤ -3, is the option;

  • (-∞, -3]

How can the solution set of an inequality be found?

A possible inequality that can be used to get one of the options, (the inequality is not included in the question) is as follows;

  • 2•x + 3 ≤ -3

Solving the above inequality, we have;

2•x + 3 ≤ -3

2•x ≤ -3 - 3 = -6

2•x ≤ -6

Therefore;

x ≤ -6 ÷ 2 = -3

x ≤ -3

Which gives;

  • -∞ < x ≤ -3

-∞ < x ≤ -3 in interval notation is (-∞, -3]

The solution set of the inequality, 2•x + 3 ≤ -3, is therefore the option;

  • (-∞, -3]

Learn more about inequalities here:

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