inequality symbols

Question

the sum of 4 and a number divided by 2 is less than -6

Answer 1

4 + x

------- < -6

2

First: Multiply both sides by 2. This gives you:

4 + x < -12

Second: Subtract 4 from both sides. This will give you the answer:

x < -16

Answer 2

n < -16

Answer 3

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1. It is very simple, just simply translate the English words into mathematics
2. "sum" --> you know there is an addition of values (+)
3. "sum of 4 and a number" --> (4 + x)
4. Assuming that "the number" is x
5. "the sum of 4 and a number divided by 2" --> Just divide the sum by 2 --> ((4 + x)/2)
6. "less than -6" --> (<-6)
7. Combine it all together --> ((4 + x)/2) < -6 --> 4 + x < -12 (using cross multiplication) --> x<-16

Answer 4

We are given:

(4 + x) / 2 < -6

Our goal is to isolate x on one side, so we will start by multiplying by 2 on each side to get rid of the division on the left side. This gives us:

4 + x < -12

Then, notice that in order to have only x on the left side of the inequality, we must subtract 4 from both sides. This leaves us with the following:

x < -16

Hope this helps!

Answer 5

In my mind, the question as written is unclear and could be interpreted two different ways. Do they mean “(the sum of 4 and a number) divided by 2 is less than -6”? Or do they mean “the sum of 4 and (a number divided by 2) is less than -6”?