The solution set for the obtained inequality is {.......-5, -4, -3, -2, -1, 0, 1, 2}.
Given that, twice a number, increased by three, is between negative one and nine.
<h3>What is inequality?</h3>
The relation between two expressions that are not equal, employing a sign such as ≠ ‘not equal to’, > ‘greater than’, or < ‘less than’.
Let the unknown number be x.
Now, twice a number, increased by three = 2x+3
The given expression is between negative one and nine
-1 < 2x+3 < 9
-1 < 2x+3
Subtract 3 to both the side of the inequality
-1-3<2x+3-3
⇒ -4 < 2x
Divide 2 to both the side of the inequality
-2 < x
Now, 2x+3 < 9
Subtract 3 to both the side of the inequality
2x+3-3<9-3
⇒ 2x<6
Divide 2 to both the side of the inequality
x < 3
So, -2<x<3
Solution set = {.......-5, -4, -3, -2, -1, 0, 1, 2}
Therefore, the solution set for the obtained inequality is {.......-5, -4, -3, -2, -1, 0, 1, 2}.
To learn more about a inequality visit:
brainly.com/question/20383699.
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