Solve the inequality. a +3> -5 and a + 3 < 9

The solution is _ and _

kinda need a bit of help on this

Question

06-09-2021
Mathematics

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Solve the inequality. a +3> -5 and a + 3 < 9

The solution is _ and _

kinda need a bit of help on this

Sagot :

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Benvdaardwegidn Benvdaardwegidn · Answer 1 · 2021-09-06T11:32:49-04:00

Answer:

-8 < a < 6

Step-by-step explanation:

a > -8 and a < 6

the first inequality can be solved by the balancing method aka performing the same operation on both sides. To isolate the a, we need to subtract 3 from both sides of the sign, which results in a > -8.

The second one can be solved similarly. Again we subtract 3 from both sides which gets us a < 6. This could be the final answer if they are two seperate inequalities. However, if it is one whole question (I dont know the context of the question so I cant assess that), then you are still required to modify the solution a little.

we have a > -8 and a < 6, so a needs to be larger than -8 and smaller than 6. If we change the first one to -8 < a (essentially meaning the same thing), we can see that we can combine the two solutions:

-8 < a < 6

Sagot :

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