Question

Translate the sentence into an inequality.
two times the sum of a number and 7 is atleast -16

Answer 1

Let \(n\) represent this number. Then set up the inequality following these steps:

1. If \(n\) is this number. How do you write the expression "the sum of a number and 7"?
2. Once you complete step one, multiply this by 2.
3. Once you complete step 2, we now write the inequality. In particular, at least -16 means -16 (inclusive) or larger. What inequality symbol best represents this wording?

Can you take things from here? :-)

Answer 2

1)n+7 2)n+7x2=14 and the equality symbol would be greater then or equal too

Answer 3

i meant 17

Answer 4

not 7

Answer 5

Careful about step 2; it's the quantity n+7 times 2 -- i.e. 2(n+7). And yes, it's going to be a greater than or equal symbol, so you should have \(2(n+7)\geq -16\). Does this make sense? :-)

Answer 6

Yes it makes alot of sense! thanks so much :)

Answer 7

No problem. Glad to be of assistance! :-)

Answer 8

Ten times the sum of a number and 27 is at most 30