Answer :
The correct value of x answer is: 0 < x < 3.
To solve the inequality 3 < x + 3 < 6, we need to isolate x.
First, let's subtract 3 from all parts of the inequality:
3 - 3 < x + 3 - 3 < 6 - 3
0 < x < 3
Therefore, the solution is 0 < x < 3.
So the correct answer is: 0 < x < 3.The given inequality is 3 < x + 3 < 6.
To solve this, we want to isolate the variable x. We can do this by performing the same operation on all parts of the inequality. In this case, we'll subtract 3 from all the terms:
3 - 3 < x + 3 - 3 < 6 - 3
Simplifying each term, we get:
0 < x < 3
So the solution is 0 < x < 3. This means that x must be greater than 0 and less than 3 in order to satisfy the inequality.
If we examine the interval (0, 3) on a number line, we see that it represents all the values between 0 and 3, excluding the endpoints. This confirms that 0 < x < 3 is the correct solution to the given inequality.
Learn more about inequality here:
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