List the integers that satisfy both these inequalities.
2x + 9 < 0
x>-12

We have been given two inequalities and . We are asked to find the integers that satisfy both inequalities.

Let us solve for our 1st inequality.

Upon combining our both inequalities, we will get:

This means that solution of our inequalities is x values greater than and less than .

We know that integers between and are: .

Therefore, our solution would be .

-11, -10,- 9, -8, -7, -6, -5

Step-by-step explanation:

The given inequalities:

First we solve inequality (i) to check the value of x that satisfy this inequality alone,

1) Add -9 on both sides , we get

2) Divide both sides by 2, we get

Now , from (ii) and (satisfy) , the common values of x that these inequalities are

i.e. x takes the values between -12 and -4.5.

So , the list of integers that satisfy both these inequalities = -11, -10,- 9, -8, -7, -6, -5

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